Line: 1 to 1  

<!
 
Changed:  
< <  Higgs Production Cross Section and Decay Branching Ratio Calculation for RUN2  
> >  Higgs Production Cross Section and Decay Branching Ratio Calculation for CERN Yellow Report 4  
Changed:  
< <  This is the instruction fo Higgsboson production cross section and decay branching ratio calculations for RUN2 (to be published in CERN Report 4).  
> >  This is the instruction fo Higgsboson production cross section and decay branching ratio calculations for RUN2 (to be published in CERN Yellow Report 4).  

Line: 1 to 1  

<!  
Changed:  
< < 
 
> > 
 
>
Higgs Production Cross Section and Decay Branching Ratio Calculation for RUN2 
Line: 1 to 1  

<!
 
Line: 75 to 75  
 
Changed:  
< <  2. BSM Higgsboson production cross section calculation  
> >  2. BSM Higgsboson production cross section calculation and decay width  
Mass scan: √s = 7 and 8 TeV (for updates) and 13 and 14 TeV 
Line: 1 to 1  

<!
 
Line: 118 to 118  
 
Changed:  
< <  ii) Theory Uncertainty (THU)
 
> >  ii) Theory Uncertainty (THU) (M. Spira's definition)
 
iii) Parametric Uncertainty (PU)

Line: 1 to 1  

<!
 
Line: 83 to 83  
 
Changed:  
< < 
 
> > 
 

Line: 1 to 1  

<!
 
Line: 38 to 38  
 
Changed:  
< <  1. SM Higgsboson production cross section calculation  
> >  1. SM Higgsboson production cross section and decay branching ratio calculation  
Mass scan: √s = 7 and 8 TeV (for updates) and 13 and 14 TeV  
Line: 51 to 51  
 
Added:  
> > 
 
Mass range and step for SMlike Higgs boson:

Line: 1 to 1  

<!
 
Line: 104 to 104  
 
Changed:  
< <  QCD scale uncertainty  
> > 
i) QCD Scale Uncertainty  
 
Added:  
> >  ii) Theory Uncertainty (THU)
iii) Parametric Uncertainty (PU)
 
4. PDF set and PDF+α_{s} uncertainty calculations  
Line: 147 to 156  
5. Numerical results
 
Changed:  
< < 
 
> > 
 
 
Added:  
> > 
 

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<!
 
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Changed:  
< < 
 
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PDF and QCD α_{s}(M_{Z}) uncertainties 
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<!
 
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< < 
 
> > 
 
PDF and QCD α_{s}(M_{Z}) uncertainties 
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<!
 
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Deleted:  
< < 
 
PDF set
 
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Added:  
> > 
 
PDF and QCD α_{s}(M_{Z}) uncertainties

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<!
 
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5. Numerical results
 
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< < 
 
> > 
 

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<!
 
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Changed:  
< < 
 
> > 
 
 
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Changed:  
< < 
 
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Added:  
> >  5. Numerical results
 
 ReiTanaka  19Nov2015 
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<!
 
Line: 46 to 46  
 
Changed:  
< < 
 
> > 
 

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<!
 
Line: 60 to 60  
 
Changed:  
< <  Ecm scan: √s = [6,15] TeV with 1 TeV step  
> >  Ecm scan: √s = [6,15] TeV with 0.5 TeV step (19 points)  
 
Line: 121 to 121  
 
Added:  
> > 
 
PDF set

Line: 1 to 1  

<!  
Changed:  
< < 
 
> > 
 
>
Higgs Production Cross Section and Decay Branching Ratio Calculation for RUN2  
Line: 46 to 46  
 
Changed:  
< < 
 
> > 
 
 
Line: 98 to 98  
 
Changed:  
< <  3. QCD scale uncertainty  
> >  3. QCD and EW corrections and uncertainties
 
Changed:  
< < 
 
> >  QCD scale uncertainty  

Line: 1 to 1  

<!
 
Changed:  
< <  Higgs Cross Section Calculation for RUN2  
> >  Higgs Production Cross Section and Decay Branching Ratio Calculation for RUN2  
This is the instruction fo Higgsboson production cross section and decay branching ratio calculations for RUN2 (to be published in CERN Report 4).
 
Line: 16 to 16  
<! * See also TWiki page. >  
Added:  
> >  Lepton (PDG2014) &Quark Masses
Gauge Boson Masses and Widths (PDG2014)
 
1. SM Higgsboson production cross section calculation  
Line: 25 to 45  
 
Added:  
> > 
 
 
Deleted:  
< < 
 
Mass range and step for SMlike Higgs boson:  
Changed:  
< < 
 
> > 
 
 
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Changed:  
< < 
 
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< < 
 
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Line: 69 to 89  
Mass range and step for BSM Higgs boson:  
Changed:  
< < 
 
> > 
 
 
Line: 88 to 108  
 
Changed:  
< <  4. PDF+α_{s} uncertainty calculations  
> >  4. PDF set and PDF+α_{s} uncertainty calculations  
 
Added:  
> > 
 
PDF set  
Deleted:  
< < 
 
Changed:  
< <  PDF and QCD α_{s}(M_{Z}) uncertainties
 
> > 
 
Added:  
> >  PDF and QCD α_{s}(M_{Z}) uncertainties
 
 
Changed:  
< < 
 
> > 
 

Line: 1 to 1  

<!
 
Line: 6 to 6  
Higgs Cross Section Calculation for RUN2  
Changed:  
< <  This is the instruction fo Higgsboson production cross section and decay branching ratio calculations at centreofmass energy of 13 and 14 TeV. See this link for previous instructions for 7 and 8 TeV in RUN1.  
> >  This is the instruction fo Higgsboson production cross section and decay branching ratio calculations for RUN2 (to be published in CERN Report 4).
 
 
Line: 22 to 23  
Mass scan: √s = 7 and 8 TeV (for updates) and 13 and 14 TeV
 
Changed:  
< < 
 
> > 
 
 
Changed:  
< < 
 
> > 
 
 
Line: 41 to 43  
Ecm scan: √s = [6,15] TeV with 1 TeV step
 
Changed:  
< < 
 
> > 
 
 
Changed:  
< < 
 
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Changed:  
< < 
 
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Changed:  
< < 
 
> > 
 
 
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4. PDF+α_{s} uncertainty calculations  
Changed:  
< < 
 
> > 
 
PDF set

Line: 1 to 1  

<!
 
Changed:  
< <  Higgs Cross Section Calculation at 7, 8 and 14 TeV  
> >  Higgs Cross Section Calculation for RUN2  
Changed:  
< <  This is the instruction for Higgs cross section calculations at centreofmass energy of 7, 8 and 14 TeV.
Complete inclusive cross sections at LO, NLO and NNLO(+NNLL) should be calculated.  
> >  This is the instruction fo Higgsboson production cross section and decay branching ratio calculations at centreofmass energy of 13 and 14 TeV. See this link for previous instructions for 7 and 8 TeV in RUN1.  
 
Changed:  
< <  Centreofmass Energy = 7, 8 and 14 TeV
Standard Model input parameter
Higgs mass range and step:
QCD scale uncertainty
* Scan example:
 
> >  Standard Model Input Parameter  
Changed:  
< < 
PDF+α_{s} uncertainty calculations (a la PDF4LHC prescription)  
> > 
<! * See also TWiki page. >  
Changed:  
< < 
 
> >  
Changed:  
< <  PDF sets
 
> >  1. SM Higgsboson production cross section calculation  
Changed:  
< < 
 
> >  Mass scan: √s = 7 and 8 TeV (for updates) and 13 and 14 TeV  
Changed:  
< <  Cross section central values  
> > 
 
Changed:  
< < 
 
> >  Mass range and step for SMlike Higgs boson:  
Changed:  
< <  PDF+α_{s} uncertainties (PDF4LHC group recommendation)  
> > 
 
Changed:  
< < 
 
> >  Ecm scan: √s = [6,15] TeV with 1 TeV step  
Changed:  
< < 
 
> > 
 
Deleted:  
< < 
 
Added:  
> >  
Changed:  
< <  Recipe from PDF4LHC  
> >  2. BSM Higgsboson production cross section calculation  
Changed:  
< <  The official PDF4LHC recommendations on NLO/NNLO cross sections and PDF uncertainty estimations:  
> >  Mass scan: √s = 7 and 8 TeV (for updates) and 13 and 14 TeV  
Changed:  
< < 
 
> > 
 
Changed:  
< <  Practical guide on PDF+α_{s} error calculation  
> >  Mass range and step for BSM Higgs boson:  
Changed:  
< < 
 
> > 
 
Changed:  
< < 
 
> >  
Changed:  
< <  <! comment out following  
> >  3. QCD scale uncertainty  
Changed:  
< <  Recipe from PDF4LHC  
> > 
 
Deleted:  
< <  We had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including
 
Changed:  
< <  We got the following recommendation from PDF4LHC group on May 19, 2010 :  
> >  4. PDF+α_{s} uncertainty calculations  
Changed:  
< <  "For estimates of PDF uncertainties, our recommendation would be for experimenters to use (at least) predictions from the three PDF fits that are truly global, i.e. that use results from the Tevatron and fixed target experiments as well as HERA: CTEQ, MSTW and NNPDF. The use of other PDFs for predictions is optional. The benchmarking exercises are useful to understand the α_{s} dependence of LHC cross sections, and to understand what differences among the PDF groups result from assumptions of different values of α_{s}. For the calculation of uncertainties at the LHC, the recommendation is to use the envelope provided by the central values and PDF+α_{s} errors from the above three groups."  
> > 
 
Changed:  
< <  We finally got the official PDF4LHC recommendations on NLO/NNLO cross sections and PDF uncertainty estimations on June 22, 2010 :  
> >  PDF set
 
Changed:  
< <  Recommendation for LHC cross section calculations (Link to full recommendation)  
> >  PDF and QCD α_{s}(M_{Z}) uncertainties
 
Changed:  
< <  "Recommendation for LHC cross section calculations: The LHC experiments are currently producing cross sections from the 7 TeV data, and thus need accurate predictions for these cross sections and their uncertainties at NLO and NNLO. Crucial to the predictions and their uncertainties are the parton distribution functions (PDFs) obtained from global fits to data from deepinelastic scattering, DrellYan and jet data. A number of groups have produced publicly available PDFs using different data sets and analysis frameworks. Given the necessity of having an official recommendation from the PDF4LHC working group available on a short time frame, the prescription outlined at the the link below has been adopted. This is not intended to be an ideal or a final prescription, but is considered to be reasonably conservative and reasonably easy to implement. Further improvements and further standardizations are planned for future updates."  
> > 
 
Deleted:  
< <  !>  
 
Changed:  
< <   ReiTanaka  21May2010  
> >   ReiTanaka  19Nov2015  
Changed:  
< < 
 
> > 
 

Line: 1 to 1  

<!  
Changed:  
< < 
 
> > 
 
>
Higgs Cross Section Calculation at 7, 8 and 14 TeV 
Line: 1 to 1  

<!
 
Line: 60 to 60  
PDF sets
 
Changed:  
< < 
 
> > 
 
 
Line: 94 to 94  
Practical guide on PDF+α_{s} error calculation
 
Changed:  
< < 
 
> > 
 

Line: 1 to 1  

Changed:  
< < 
 
> > 
 
<!
 
Line: 16 to 16  
Standard Model input parameter
 
Changed:  
< <  
> >  
Higgs mass range and step:  
Line: 61 to 61  
 
Changed:  
< < 
 
> > 
 
 
Line: 128 to 128  
 
Changed:  
< < 
 
> > 

Line: 1 to 1  

<!  
Changed:  
< <  Set ALLOWTOPICCHANGE=ChiaraMariotti,ReiTanaka  
> > 
 
>
Higgs Cross Section Calculation at 7, 8 and 14 TeV 
Line: 1 to 1  

 
Added:  
> >  <! * Set ALLOWTOPICCHANGE=ChiaraMariotti,ReiTanaka >  
Higgs Cross Section Calculation at 7, 8 and 14 TeVThis is the instruction for Higgs cross section calculations at centreofmass energy of 7, 8 and 14 TeV. 
Line: 1 to 1  

Higgs Cross Section Calculation at 7, 8 and 14 TeV  
Line: 11 to 11  
Centreofmass Energy = 7, 8 and 14 TeV
Standard Model input parameter  
Added:  
> > 
 
Higgs mass range and step:  
Changed:  
< < 
 
> > 
 
 
Line: 30 to 32  
+ 450, 550, 650, 750, 850, 950 GeV (6 points)
 
Changed:  
< <  QDD scale and PDF+α_{s} uncertainty calculations (a la PDF4LHC prescription)  
> >  QCD scale uncertainty  
Added:  
> > 
 
 
Added:  
> >  * Scan example:  
 
Changed:  
< <  PDF sets  
> > 
PDF+α_{s} uncertainty calculations (a la PDF4LHC prescription)
PDF sets  
 
Line: 50 to 62  
 
Changed:  
< <  Cross section central values  
> >  Cross section central values  
 
Changed:  
< <  QCD scale uncertaintyThe factorization and the renormalization scales are process dependent and should be defined by each subgroup. The scale uncertainty should also be defined by each group, (e.g.. 1/2M_{H} < μ_{R}, μ_{F} < 2M_{H}, do 2D scan with 1/2 < μ_{R}/μ_{F} < 2)
PDF+α_{s} uncertainties (PDF4LHC group recommendation)  
> >  PDF+α_{s} uncertainties (PDF4LHC group recommendation)  

Line: 1 to 1  

Higgs Cross Section Calculation at 7, 8 and 14 TeV  
Line: 15 to 15  
Higgs mass range and step:  
Changed:  
< < 
 
> > 
 
 
Added:  
> > 
 
Changed:  
< < 
 
> > 
 
QDD scale and PDF+α_{s} uncertainty calculations (a la PDF4LHC prescription)
 
Changed:  
< < 
 
> > 
 
PDF sets

Line: 1 to 1  

Higgs Cross Section Calculation at 7, 8 and 14 TeV  
Line: 19 to 19  
 
Changed:  
< < 
 
> > 
 
 
Added:  
> >  + 450, 550, 650, 750, 850, 950 GeV  
QDD scale and PDF+α_{s} uncertainty calculations (a la PDF4LHC prescription)  
Line: 32 to 34  
 
Changed:  
< < 
 
> > 
 

Line: 1 to 1  

Higgs Cross Section Calculation at 7, 8 and 14 TeV  
Line: 15 to 15  
Higgs mass range and step:  
Changed:  
< < 
 
> > 
QDD scale and PDF+α_{s} uncertainty calculations (a la PDF4LHC prescription)
 
 
Changed:  
< < 
 
> > 
 
PDF sets

Line: 1 to 1  

 
Changed:  
< <  Higgs Cross Section Calculation at 7 and 14 TeV  
> >  Higgs Cross Section Calculation at 7, 8 and 14 TeV  
Changed:  
< <  This is the instruction for Higgs cross section calculations at centreofmass energy of 7 TeV.  
> >  This is the instruction for Higgs cross section calculations at centreofmass energy of 7, 8 and 14 TeV.  
Complete inclusive cross sections at LO, NLO and NNLO(+NNLL) should be calculated.
 
Changed:  
< <  Centreofmass Energy = 7 and 14 TeV  
> >  Centreofmass Energy = 7, 8 and 14 TeV  
Standard Model input parameter 
Line: 1 to 1  

Higgs Cross Section Calculation at 7 and 14 TeV 
Line: 1 to 1  

Higgs Cross Section Calculation at 7 and 14 TeV  
Line: 62 to 62  
The official PDF4LHC recommendations on NLO/NNLO cross sections and PDF uncertainty estimations:
 
Changed:  
< < 
 
> > 
Practical guide on PDF+α_{s} error calculation
 
<! comment out following  
Line: 91 to 100  
 
Added:  
> > 

Line: 1 to 1  

 
Changed:  
< <  Higgs Cross Section Calculation at 7 TeV  
> >  Higgs Cross Section Calculation at 7 and 14 TeV  
This is the instruction for Higgs cross section calculations at centreofmass energy of 7 TeV.  
Line: 8 to 8  
 
Changed:  
< <  Centreofmass Energy = 7 TeV  
> >  Centreofmass Energy = 7 and 14 TeV  
Standard Model input parameter  
Line: 56 to 56  
 
Added:  
> >  
Recipe from PDF4LHC  
Added:  
> >  The official PDF4LHC recommendations on NLO/NNLO cross sections and PDF uncertainty estimations:
<! comment out following  
We had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including
 
Line: 73 to 83  
"Recommendation for LHC cross section calculations: The LHC experiments are currently producing cross sections from the 7 TeV data, and thus need accurate predictions for these cross sections and their uncertainties at NLO and NNLO. Crucial to the predictions and their uncertainties are the parton distribution functions (PDFs) obtained from global fits to data from deepinelastic scattering, DrellYan and jet data. A number of groups have produced publicly available PDFs using different data sets and analysis frameworks. Given the necessity of having an official recommendation from the PDF4LHC working group available on a short time frame, the prescription outlined at the the link below has been adopted. This is not intended to be an ideal or a final prescription, but is considered to be reasonably conservative and reasonably easy to implement. Further improvements and further standardizations are planned for future updates."  
Added:  
> >  !>  
 ReiTanaka  21May2010  
Added:  
> > 

Line: 1 to 1  

Higgs Cross Section Calculation at 7 TeV  
Line: 34 to 34  
Cross section central values  
Changed:  
< < 
 
> > 
 
QCD scale uncertainty  
Line: 53 to 53  
 
Changed:  
< < 
 
> > 
 
Recipe from PDF4LHC 
Line: 1 to 1  

Higgs Cross Section Calculation at 7 TeV  
Line: 47 to 47  
 
Changed:  
< < 
 
> > 
 

Line: 1 to 1  

Higgs Cross Section Calculation at 7 TeV  
Line: 23 to 23  
 
Changed:  
< <  PDF sets  
> >  PDF sets  
 
Added:  
> > 
 
 
Changed:  
< <  CTEQ, MSTW and NNPDF are the default sets for NLO calculations. Others, e.g. HERAPDF, ABKM and (G)JR are optional, but we recommend to calculate with these PDF sets as well. In particular, we need to compare MSTW with ABKM and (G)JR at NNLO. All these sets are on LHAPDF.  
> > 
 
Changed:  
< <  QCD scale uncertainty  
> >  Cross section central values
QCD scale uncertainty  
The factorization and the renormalization scales are process dependent and should be defined by each subgroup. The scale uncertainty should also be defined by each group, (e.g.. 1/2M_{H} < μ_{R}, μ_{F} < 2M_{H}, do 2D scan with 1/2 < μ_{R}/μ_{F} < 2)  
Changed:  
< <  PDF, PDF+α_{s} uncertainties  
> >  PDF+α_{s} uncertainties (PDF4LHC group recommendation)
 
Changed:  
< <  The PDF error with/without α_{s} error both at 68% and 90% C.L. should be calculated. If 68% C.L. calculation does not exist, we shall translate (e,g, by dividing 90%C.L. error by 1.64885).  
> > 
 
Changed:  
< <  Recipe from PDF4LHC  
> > 
 
Changed:  
< <  We had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including  
> >  Recipe from PDF4LHCWe had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including  
 
Changed:  
< <  We got the following recommendation from PDF4LHC group on May 19, 2010 :  
> >  We got the following recommendation from PDF4LHC group on May 19, 2010 :  
"For estimates of PDF uncertainties, our recommendation would be for experimenters to use (at least) predictions from the three PDF fits that are truly global, i.e. that use results from the Tevatron and fixed target experiments as well as HERA: CTEQ, MSTW and NNPDF. The use of other PDFs for predictions is optional. The benchmarking exercises are useful to understand the α_{s} dependence of LHC cross sections, and to understand what differences among the PDF groups result from assumptions of different values of α_{s}. For the calculation of uncertainties at the LHC, the recommendation is to use the envelope provided by the central values and PDF+α_{s} errors from the above three groups."  
Added:  
> >  We finally got the official PDF4LHC recommendations on NLO/NNLO cross sections and PDF uncertainty estimations on June 22, 2010 :
Recommendation for LHC cross section calculations (Link to full recommendation) "Recommendation for LHC cross section calculations: The LHC experiments are currently producing cross sections from the 7 TeV data, and thus need accurate predictions for these cross sections and their uncertainties at NLO and NNLO. Crucial to the predictions and their uncertainties are the parton distribution functions (PDFs) obtained from global fits to data from deepinelastic scattering, DrellYan and jet data. A number of groups have produced publicly available PDFs using different data sets and analysis frameworks. Given the necessity of having an official recommendation from the PDF4LHC working group available on a short time frame, the prescription outlined at the the link below has been adopted. This is not intended to be an ideal or a final prescription, but is considered to be reasonably conservative and reasonably easy to implement. Further improvements and further standardizations are planned for future updates."  

Line: 1 to 1  

Higgs Cross Section Calculation at 7 TeV  
Line: 26 to 24  
PDF sets  
Changed:  
< < 
CTEQ, MSTW and NNPDF are the default sets for NLO calculations. Others, e.g. HERAPDF, ABKM and JR are optional, but we recommend to calculate with these PDF sets as well. In particular, we need to compare MSTW with ABKM and JR at NNLO. All these sets are on LHAPDF.  
> > 
CTEQ, MSTW and NNPDF are the default sets for NLO calculations. Others, e.g. HERAPDF, ABKM and (G)JR are optional, but we recommend to calculate with these PDF sets as well. In particular, we need to compare MSTW with ABKM and (G)JR at NNLO. All these sets are on LHAPDF.  
Changed:  
< <  QCD scale uncertainty  
> >  QCD scale uncertainty  
The factorization and the renormalization scales are process dependent and should be defined by each subgroup. The scale uncertainty should also be defined by each group,  
Line: 44 to 43  
The PDF error with/without α_{s} error both at 68% and 90% C.L. should be calculated. If 68% C.L. calculation does not exist, we shall translate (e,g, by dividing 90%C.L. error by 1.64885).  
Changed:  
< <  Recipe from PDF4LHC  
> >  Recipe from PDF4LHC  
Changed:  
< <  We had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including
 
> >  We had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including
 
 
Changed:  
< <  We got the following recommendation from PDF4LHC group on May 19, 2010 :  
> >  We got the following recommendation from PDF4LHC group on May 19, 2010 :  
Changed:  
< <  "For estimates of PDF uncertainties, our recommendation would be for experimenters to use (at least) predictions from the three PDF fits that are truly global, i.e. that use results from the Tevatron and fixed target experiments as well as HERA: CTEQ, MSTW and NNPDF. The use of other PDFs for predictions is optional. The benchmarking exercises are useful to understand the α_{s} dependence of LHC cross sections, and to understand what differences among the PDF groups result from assumptions of different values of α_{s}. For the calculation of uncertainties at the LHC, the recommendation is to use the envelope provided by the central values and PDF+α_{s} errors from the above three groups."  
> >  "For estimates of PDF uncertainties, our recommendation would be for experimenters to use (at least) predictions from the three PDF fits that are truly global, i.e. that use results from the Tevatron and fixed target experiments as well as HERA: CTEQ, MSTW and NNPDF. The use of other PDFs for predictions is optional. The benchmarking exercises are useful to understand the α_{s} dependence of LHC cross sections, and to understand what differences among the PDF groups result from assumptions of different values of α_{s}. For the calculation of uncertainties at the LHC, the recommendation is to use the envelope provided by the central values and PDF+α_{s} errors from the above three groups."  

Line: 1 to 1  

 
Changed:  
< <  Cross Section Calculation at 7 TeV  
> >  Higgs Cross Section Calculation at 7 TeV  
Changed:  
< <  This is the standard recipe for Higgs cross section calculations for centreofmass energy of 7 TeV.  
> >  This is the instruction for Higgs cross section calculations at centreofmass energy of 7 TeV.  
Changed:  
< <  We had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including
 QCD alpha_s central value with the associated error to be used,
 Definitions of PDF+alpha_s uncertainties and their treatments.
We got the following recommendation from PDF4LHC group on May 19, 2010 : "For estimates of PDF uncertainties, our recommendation would be for experimenters to use (at least) predictions from the three PDF fits that are truly global, i.e. that use results from the Tevatron and fixed target experiments as well as HERA: CTEQ, MSTW and NNPDF. The use of other PDFs for predictions is optional. The benchmarking exercises are useful to understand the alpha_s dependence of LHC cross sections, and to understand what differences among the PDF groups result from assumptions of different values of alphas. For the calculation of uncertainties at the LHC, the recommendation is to use the envelope provided by the central values and PDF+alpha_s errors from the above three groups." Since our next workshop at CERN (July 56) is approaching, we overall contacts want to ask each subgroup to start the corresponding calculations within the following scheme (we will put this recipe onto our TWiki page).  
> >  Complete inclusive cross sections at LO, NLO and NNLO(+NNLL) should be calculated.  
 
Changed:  
< <  Centreofmass Energy ^{†}
 
> >  Centreofmass Energy = 7 TeV  
Deleted:  
< <  Complete inclusive cross sections at LO, NLO and NNLO(+NNLL)  
Deleted:  
< <  Standard Model input parameter fromhttps://twiki.cern.ch/twiki/bin/view/LHCPhysics/SMInputParameter  
Changed:  
< <  Higgs mass range:  
> >  Standard Model input parameter  
Changed:  
< <  MH=[90GeV, 1TeV] or up to meaningful Higgs mass for each production process  
> >  Higgs mass range and step:  
Changed:  
< < 
 
> > 
 
Changed:  
< <   QCD alpha_s: Use default values of each PDF set  
> > 
 
Changed:  
< <   PDF sets: CTEQ6.6, MSTW2008, NNPDF2.0, HERAPDF1.0, ABKM09, GJR08  
> >  PDF sets
 
Changed:  
< <  CTEQ, MSTW and NNPDF are the default sets for NLO calculations. Other, e.g. HERAPDF, ABKM and GJR are optional, but we recommend to calculate with these PDF sets as well. In particular, we need to compare MSTW with ABKM and GJR at NNLO. These sets are on LHAPDF.  
> >  CTEQ, MSTW and NNPDF are the default sets for NLO calculations. Others, e.g. HERAPDF, ABKM and JR are optional, but we recommend to calculate with these PDF sets as well. In particular, we need to compare MSTW with ABKM and JR at NNLO. All these sets are on LHAPDF.  
Changed:  
< <   QCD scale uncertainty:  
> >  QCD scale uncertainty  
Changed:  
< <  The factorization and the renormalization scales are process dependent and should be defined by each subgroup.  
> >  The factorization and the renormalization scales are process dependent and should be defined by each subgroup.  
The scale uncertainty should also be defined by each group,  
Changed:  
< <  (e.g.. 1/2MH < mu_R, mu_F < 2MH, do 2D scan with 1/2 < mu_R/mu_F < 2)  
> >  (e.g.. 1/2M_{H} < μ_{R}, μ_{F} < 2M_{H}, do 2D scan with 1/2 < μ_{R}/μ_{F} < 2)  
Changed:  
< <   PDF, PDF+alpha_s uncertainties:  
> >  PDF, PDF+α_{s} uncertainties  
Changed:  
< <  The PDF error with/without alpha_s error both at 68% and 90% C.L. should be calculated.  
> >  The PDF error with/without α_{s} error both at 68% and 90% C.L. should be calculated.  
If 68% C.L. calculation does not exist, we shall translate (e,g, by dividing 90%C.L. error by 1.64885).  
Changed:  
< <  The numbers are supposed to be the final one and ready for the next workshop at CERN. Once we complete these calculations and results are available, we shall discuss (e.g. before/at CERN) how to define the cross section central values and their associated errors.
* Note: The charm and bottom masses are the pole masses used in the MSTW2008 PDF set.
Light quark massesLight quark masses as used in parton show Monte Carlos are in some cases (e.g.HERWIG) effective masses used to regulate the parton shower in the infrared region (HERWIG also uses massive gluons), and as such may be treated more as a semiperturbative QCD model parameter specific to a given generator rather than a SM parameter.
Charm and Bottom quark massesWe propose a process dependent choice of the quark masses since this issue cannot be generalized. The best choice should be given depending on the process. The current best fits for the MSbar masses are (arXiv:1001.5173),
(Comments from Michael Spira, February, 2010).
Gauge Boson Masses ^{†}
 
> >  Recipe from PDF4LHC  
Changed:  
< <  
> >  We had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including
 
Changed:  
< <  Electroweak Radiative Corrections
 
> >  We got the following recommendation from PDF4LHC group on May 19, 2010 :  
Changed:  
< <  For EW radiative corrections, it is more complicated than QCD because of renormalization and the treatment of unstable particles are complicated.
For the treatment of resonances complexmass scheme, fixedwidth scheme and polemass scheme can be taken.
Also for the renormalization scheme which defines relations between electroweak couplings and parameters beyond the leading order, various schemes exist such as α(0) scheme, α(M_{Z}^{2}) scheme and the G_{F} scheme.
For further detail, please refer to the Binoth Les Houches Accord arXiv:1001.1307, Section 5.1  5.3..
If we agree on, then this SM input parameter page could be extended.
(Comments from Giampiero Passarino, February, 2010).
QCD α_{s}
Default α_{s} valuesNLO
MSTW
References† C. Amsler et al. (Particle Data Group), Physics Letters B667 (2008) 1 and 2009 partial update for the 2010 edition.
 ReiTanaka  12Feb2010  
> >  "For estimates of PDF uncertainties, our recommendation would be for experimenters to use (at least) predictions from the three PDF fits that are truly global, i.e. that use results from the Tevatron and fixed target experiments as well as HERA: CTEQ, MSTW and NNPDF. The use of other PDFs for predictions is optional. The benchmarking exercises are useful to understand the α_{s} dependence of LHC cross sections, and to understand what differences among the PDF groups result from assumptions of different values of α_{s}. For the calculation of uncertainties at the LHC, the recommendation is to use the envelope provided by the central values and PDF+α_{s} errors from the above three groups."  
Added:  
> >  
 ReiTanaka  21May2010 
Line: 1 to 1  

Added:  
> > 
Cross Section Calculation at 7 TeVThis is the standard recipe for Higgs cross section calculations for centreofmass energy of 7 TeV. We had been asking the PDF4LHC working group to provide us a prescription on PDF sets, including  QCD alpha_s central value with the associated error to be used,  Definitions of PDF+alpha_s uncertainties and their treatments. We got the following recommendation from PDF4LHC group on May 19, 2010 : "For estimates of PDF uncertainties, our recommendation would be for experimenters to use (at least) predictions from the three PDF fits that are truly global, i.e. that use results from the Tevatron and fixed target experiments as well as HERA: CTEQ, MSTW and NNPDF. The use of other PDFs for predictions is optional. The benchmarking exercises are useful to understand the alpha_s dependence of LHC cross sections, and to understand what differences among the PDF groups result from assumptions of different values of alphas. For the calculation of uncertainties at the LHC, the recommendation is to use the envelope provided by the central values and PDF+alpha_s errors from the above three groups." Since our next workshop at CERN (July 56) is approaching, we overall contacts want to ask each subgroup to start the corresponding calculations within the following scheme (we will put this recipe onto our TWiki page).
Centreofmass Energy ^{†}
Complete inclusive cross sections at LO, NLO and NNLO(+NNLL)
Standard Model input parameter fromhttps://twiki.cern.ch/twiki/bin/view/LHCPhysics/SMInputParameter
Higgs mass range:MH=[90GeV, 1TeV] or up to meaningful Higgs mass for each production process
 QCD alpha_s: Use default values of each PDF set  PDF sets: CTEQ6.6, MSTW2008, NNPDF2.0, HERAPDF1.0, ABKM09, GJR08 CTEQ, MSTW and NNPDF are the default sets for NLO calculations. Other, e.g. HERAPDF, ABKM and GJR are optional, but we recommend to calculate with these PDF sets as well. In particular, we need to compare MSTW with ABKM and GJR at NNLO. These sets are on LHAPDF.  QCD scale uncertainty: The factorization and the renormalization scales are process dependent and should be defined by each subgroup. The scale uncertainty should also be defined by each group, (e.g.. 1/2MH < mu_R, mu_F < 2MH, do 2D scan with 1/2 < mu_R/mu_F < 2)  PDF, PDF+alpha_s uncertainties: The PDF error with/without alpha_s error both at 68% and 90% C.L. should be calculated. If 68% C.L. calculation does not exist, we shall translate (e,g, by dividing 90%C.L. error by 1.64885).
The numbers are supposed to be the final one and ready for the next workshop at CERN. Once we complete these calculations and results are available, we shall discuss (e.g. before/at CERN) how to define the cross section central values and their associated errors.
* Note: The charm and bottom masses are the pole masses used in the MSTW2008 PDF set.
Light quark massesLight quark masses as used in parton show Monte Carlos are in some cases (e.g.HERWIG) effective masses used to regulate the parton shower in the infrared region (HERWIG also uses massive gluons), and as such may be treated more as a semiperturbative QCD model parameter specific to a given generator rather than a SM parameter.
Charm and Bottom quark massesWe propose a process dependent choice of the quark masses since this issue cannot be generalized. The best choice should be given depending on the process. The current best fits for the MSbar masses are (arXiv:1001.5173),
(Comments from Michael Spira, February, 2010).
Gauge Boson Masses ^{†}
Electroweak Radiative Corrections
For EW radiative corrections, it is more complicated than QCD because of renormalization and the treatment of unstable particles are complicated. For the treatment of resonances complexmass scheme, fixedwidth scheme and polemass scheme can be taken. Also for the renormalization scheme which defines relations between electroweak couplings and parameters beyond the leading order, various schemes exist such as α(0) scheme, α(M_{Z}^{2}) scheme and the G_{F} scheme. For further detail, please refer to the Binoth Les Houches Accord arXiv:1001.1307, Section 5.1  5.3.. If we agree on, then this SM input parameter page could be extended. (Comments from Giampiero Passarino, February, 2010).
QCD α_{s}
Default α_{s} valuesNLO
MSTW
References† C. Amsler et al. (Particle Data Group), Physics Letters B667 (2008) 1 and 2009 partial update for the 2010 edition.
 ReiTanaka  12Feb2010
 ReiTanaka  21May2010 