(r15) LHCHWG2KAPPA < LHCPhysics

LHCPhysics Web>LHCHXSWG2>LHCHWG2KAPPA (revision 15) (raw view)~~EditAttachPDF~~
<!--
   * Set ALLOWTOPICCHANGE = Main.ReiTanaka, Main.AndreDavid, Main.MichaelDuehrssen, lhc-higgs-steering-committee, lhc-higgs-properties-convener
-->

---+ &kappa; coupling modifiers (update in 2016)
   
%TOC%

------------

This is the update of &kappa; coupling modifiers (see [[https://cds.cern.ch/record/1559921][CERN Report 3]], Section 10.2) for Higgs-boson production and decay. 

---+++ Calculation Instructions
   1. Use the same [[https://twiki.cern.ch/twiki/bin/view/LHCPhysics/LHCHXSWGCrossSectionsCalc][SM input parameters for Higgs XS&BR calculations for CERN Report 4]]
   1. Update for Ecm=[7,8,13,14]TeV and for MH=[124.5,125.0,125.09,125.5]GeV
   1. Inclusive cross section
   1. Purely !N3LO/NNLO/NLO/LO QCD and %RED%no NLO EW correction%ENDCOLOR% 
      * In LO &kappa;-framework we assume that QCD corrections factorize for &kappa;’s (but not for EW corrections).
   1. Cross section or partial decay width in significant digits
   1. Also provide uncertainties in sigma and coefficients in kappa for THU and PU if possible
      * Certain THU and PU should cancel out for coefficients in kappa (ex. &alpha;<sub>s</sub> etc.) but not for quark-mass. 
   1. Provide information if public tool is available so that EXP can calculate themselves with experimental cuts later on


------------


---++ 1. gluon-gluon Fusion Process

   * Cross sections are calculated in !N3LO QCD by Zürich group [[%ATTACHURL%/inclusive_higgs_n3lo_ichep.pdf][(Note by Zürich group)]].
   * QCD scales: &mu;=&mu;<sub>F</sub>=&mu;<sub>R</sub>=M<sub>h</sub>/2
   * PDF set:  !PDF4LHC15_nnlo_100
   * References: [Anastasiou:2014vaa,Anastasiou:2014lda,Anastasiou:2016cez,Anastasiou:2016hlm]

   * Numbers in bottom-quark related cross sections and corresponding &kappa; coupling modifiers have changed with respect to CERN Report 3 (see Eq. (111) and Table 38). 
   * For M<sub>h</sub>=125 !GeV at &#8730;s=8 !TeV, 
      * CERN Report 3: &kappa;<sub>g</sub><sup>2</sup> = 1.058&kappa;<sub>t</sub><sup>2</sup>	+ 0.007&kappa;<sub>b</sub><sup>2</sup>  - 0.065&kappa;<sub>t</sub>&kappa;<sub>b</sub> 
      * CERN Report 4: &kappa;<sub>g</sub><sup>2</sup> = 1.042&kappa;<sub>t</sub><sup>2</sup>	+ 0.002&kappa;<sub>b</sub><sup>2</sup>  - 0.040&kappa;<sub>t</sub>&kappa;<sub>b</sub> - 0.005&kappa;<sub>t</sub>&kappa;<sub>c</sub> + 0.0005&kappa;<sub>b</sub>&kappa;<sub>c</sub> + 0.00002&kappa;<sub>c</sub><sup>2</sup>
   * The main origins of these differences are: 
      1. Due to change in central QCD scale from M<sub>h</sub> (CERN Report 3) to M<sub>h</sub>/2 (CERN Report 4). This affects &sigma;<sub>tt</sub> but doesn’t affect much &sigma;<sub>tb</sub> or &sigma;<sub>bb</sub>. 
      1. Due to inclusion of charm quark.
      1. Due to change in quark-mass definition from on-shell mass in CERN Report 3 (M<sub>t</sub>=172.5 !GeV, M<sub>b</sub>=4.84131 !GeV) to MSbar mass in CERN Report 4 (M<sub>t</sub>((M<sub>t</sub>)=162.7 !GeV, M<sub>b</sub>(M<sub>b</sub>)=4.18 !GeV and M<sub>c</sub>(3 !GeV)=0.986 !GeV).
         * In the MSbar scheme the light quark masses run to a significantly lower value (at scale of &mu; ~ M<sub>h</sub>/2 or M<sub>h</sub>) than their pole masses. 
         * Hence there is an effect on the top-bottom interference and the bottom-bottom part (also for charm). 
   * It has been checked that HIGLU (M. Spira) and Zürich calculations agree perfectly with the same input condition in on-shell mass scheme. 

<table>
<tr>
|   *7 !TeV*   ||||||||||||||||																																
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>EW</sub> [pb] 	|	&sigma;<sub>tt</sub> [pb] 	|	&sigma;<sub>tb</sub> [pb] 	|	&sigma;<sub>bb</sub> [pb] 	|	&sigma;<sub>tc</sub> [pb] 	|	&sigma;<sub>bc</sub> [pb] 	|	&sigma;<sub>cc</sub> [pb] 	|	&sigma;<sub>tot</sub> [pb] 	|	&sigma;<sub>QCD</sub> [pb] 	|	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>b</sub>	|	&kappa;<sub>b</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>c</sub>	|	&kappa;<sub>b</sub>&kappa;<sub>c</sub>	|	&kappa;<sub>c</sub><sup>2</sup>	|
|	124.50 	|	0.84 	|	16.86 	|	-0.67 	|	0.04 	|	-0.08 	|	0.01 	|	0.0003 	|	17.00 	|	16.16 	|	1.043 	|	-0.041 	|	0.002 	|	-0.005 	|	0.0006 	|	0.00002 	|
|	125.00 	|	0.83 	|	16.71 	|	-0.66 	|	0.04 	|	-0.08 	|	0.01 	|	0.0003 	|	16.85 	|	16.02 	|	1.043 	|	-0.041 	|	0.002 	|	-0.005 	|	0.0006 	|	0.00002 	|
|	125.09 	|	0.83 	|	16.69 	|	-0.66 	|	0.04 	|	-0.08 	|	0.01 	|	0.0003 	|	16.83 	|	16.00 	|	1.043 	|	-0.041 	|	0.002 	|	-0.005 	|	0.0006 	|	0.00002 	|
|	125.50 	|	0.83 	|	16.57 	|	-0.65 	|	0.04 	|	-0.08 	|	0.01 	|	0.0003 	|	16.72 	|	15.89 	|	1.043 	|	-0.041 	|	0.003 	|	-0.005 	|	0.0006 	|	0.00002 	|
|   *8 !TeV*   ||||||||||||||||																																
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>EW</sub> [pb] 	|	&sigma;<sub>tt</sub> [pb] 	|	&sigma;<sub>tb</sub> [pb] 	|	&sigma;<sub>bb</sub> [pb] 	|	&sigma;<sub>tc</sub> [pb] 	|	&sigma;<sub>bc</sub> [pb] 	|	&sigma;<sub>cc</sub> [pb] 	|	&sigma;<sub>tot</sub> [pb] 	|	&sigma;<sub>QCD</sub> [pb] 	|	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>b</sub>	|	&kappa;<sub>b</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>c</sub>	|	&kappa;<sub>b</sub>&kappa;<sub>c</sub>	|	&kappa;<sub>c</sub><sup>2</sup>	|
|	124.50 	|	1.06 	|	21.41 	|	-0.83 	|	0.05 	|	-0.10 	|	0.01 	|	0.0004 	|	21.60 	|	20.54 	|	1.042 	|	-0.040 	|	0.002 	|	-0.005 	|	0.0005 	|	0.00002 	|
|	125.00 	|	1.06 	|	21.23 	|	-0.82 	|	0.05 	|	-0.10 	|	0.01 	|	0.0004 	|	21.43 	|	20.37 	|	1.042 	|	-0.040 	|	0.002 	|	-0.005 	|	0.0005 	|	0.00002 	|
|	125.09 	|	1.06 	|	21.20 	|	-0.82 	|	0.05 	|	-0.10 	|	0.01 	|	0.0004 	|	21.40 	|	20.34 	|	1.042 	|	-0.040 	|	0.002 	|	-0.005 	|	0.0005 	|	0.00002 	|
|	125.50 	|	1.05 	|	21.06 	|	-0.81 	|	0.05 	|	-0.10 	|	0.01 	|	0.0004 	|	21.26 	|	20.21 	|	1.042 	|	-0.040 	|	0.002 	|	-0.005 	|	0.0005 	|	0.00002 	|
|   *13 !TeV*   ||||||||||||||||																																
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>EW</sub> [pb] 	|	&sigma;<sub>tt</sub> [pb] 	|	&sigma;<sub>tb</sub> [pb] 	|	&sigma;<sub>bb</sub> [pb] 	|	&sigma;<sub>tc</sub> [pb] 	|	&sigma;<sub>bc</sub> [pb] 	|	&sigma;<sub>cc</sub> [pb] 	|	&sigma;<sub>tot</sub> [pb] 	|	&sigma;<sub>QCD</sub> [pb] 	|	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>b</sub>	|	&kappa;<sub>b</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>c</sub>	|	&kappa;<sub>b</sub>&kappa;<sub>c</sub>	|	&kappa;<sub>c</sub><sup>2</sup>	|
|	124.50 	|	2.40 	|	48.35 	|	-1.76 	|	0.10 	|	-0.22 	|	0.02 	|	0.0009 	|	48.89 	|	46.49 	|	1.040 	|	-0.038 	|	0.002 	|	-0.005 	|	0.0004 	|	0.00002 	|
|	125.00 	|	2.39 	|	48.00 	|	-1.74 	|	0.10 	|	-0.22 	|	0.02 	|	0.0009 	|	48.55 	|	46.16 	|	1.040 	|	-0.038 	|	0.002 	|	-0.005 	|	0.0004 	|	0.00002 	|
|	125.09 	|	2.39 	|	47.94 	|	-1.73 	|	0.10 	|	-0.22 	|	0.02 	|	0.0009 	|	48.50 	|	46.11 	|	1.040 	|	-0.038 	|	0.002 	|	-0.005 	|	0.0004 	|	0.00002 	|
|	125.50 	|	2.39 	|	47.65 	|	-1.72 	|	0.10 	|	-0.22 	|	0.02 	|	0.0009 	|	48.22 	|	45.83 	|	1.040 	|	-0.038 	|	0.002 	|	-0.005 	|	0.0004 	|	0.00002 	|
|   *14 !TeV*   ||||||||||||||||																															
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>EW</sub> [pb] 	|	&sigma;<sub>tt</sub> [pb] 	|	&sigma;<sub>tb</sub> [pb] 	|	&sigma;<sub>bb</sub> [pb] 	|	&sigma;<sub>tc</sub> [pb] 	|	&sigma;<sub>bc</sub> [pb] 	|	&sigma;<sub>cc</sub> [pb] 	|	&sigma;<sub>tot</sub> [pb] 	|	&sigma;<sub>QCD</sub> [pb] 	|	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>b</sub>	|	&kappa;<sub>b</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>c</sub>	|	&kappa;<sub>b</sub>&kappa;<sub>c</sub>	|	&kappa;<sub>c</sub><sup>2</sup>	|
|	124.50 	|	2.70 	|	54.39 	|	-1.95 	|	0.12 	|	-0.25 	|	0.02 	|	0.0010 	|	55.03 	|	52.33 	|	1.039 	|	-0.037 	|	0.002 	|	-0.005 	|	0.0004 	|	0.00002 	|
|	125.00 	|	2.69 	|	54.00 	|	-1.93 	|	0.11 	|	-0.24 	|	0.02 	|	0.0010 	|	54.65 	|	51.96 	|	1.039 	|	-0.037 	|	0.002 	|	-0.005 	|	0.0004 	|	0.00002 	|
|	125.09 	|	2.69 	|	53.93 	|	-1.92 	|	0.11 	|	-0.24 	|	0.02 	|	0.0010 	|	54.59 	|	51.90 	|	1.039 	|	-0.037 	|	0.002 	|	-0.005 	|	0.0004 	|	0.00002 	|
|	125.50 	|	2.69 	|	53.61 	|	-1.91 	|	0.11 	|	-0.24 	|	0.02 	|	0.0010 	|	54.28 	|	51.59 	|	1.039 	|	-0.037 	|	0.002 	|	-0.005 	|	0.0004 	|	0.00002 	|
</tr>
</table>

------------

---++ 2. !VBF  Process

   * Cross sections are calculated in NNLO QCD with !VBF@NNLO program (CERN Report 4, Appendix). 
   * QCD scales: &mu;=&mu;<sub>F</sub>=&mu;<sub>R</sub>=M<sub>W</sub>
   * PDF set:  !PDF4LHC15_nnlo_30_pdfas
   * References: [Bolzoni:2010xr,Bolzoni:2011cu]

<table>
<tr>
|		|	*7 !TeV*	||||		|	*8 !TeV*		||||		|	*13 !TeV*			||||		|	*14 !TeV*			||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>WW</sub> [pb]	|	&sigma;<sub>ZZ</sub> [pb]	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>Z</sub><sup>2</sup>	|		|	&sigma;<sub>WW</sub> [pb]	|	&sigma;<sub>ZZ</sub>	[pb]   |	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>Z</sub><sup>2</sup>	|		|	&sigma;<sub>WW</sub>	|	&sigma;<sub>ZZ</sub>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>Z</sub><sup>2</sup>	|		|	&sigma;<sub>WW</sub> [pb]	|	&sigma;<sub>ZZ</sub> [pb]	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>Z</sub><sup>2</sup> 	|
|	120.0 	|	0.993 	|	0.349 	|	0.740 	|	0.260 	|	|	1.278 	|	0.452 	|	0.739 	|	0.261 	|	|	3.001 	|	1.091 	|	0.733 	|	0.267 	|	|	3.392 	|	1.238 	|	0.733 	|	0.267 	|						
|	125.0 	|	0.946 	|	0.333 	|	0.740 	|	0.260 	|	|	1.220 	|	0.432 	|	0.738 	|	0.262 	|	|	2.882 	|	1.049 	|	0.733 	|	0.267 	|	|	3.260 	|	1.191 	|	0.732 	|	0.268 	|						
|	130.0 	|	0.902 	|	0.318 	|	0.740 	|	0.260 	|	|	1.166 	|	0.413 	|	0.738 	|	0.262 	|	|	2.770 	|	1.009 	|	0.733 	|	0.267 	|	|	3.135 	|	1.146 	|	0.732 	|	0.268 	|						
</tr>
</table>
   * CERN Report 3: &sigma;<sub>WW</sub> = 0.938 (1.210) pb and &sigma;<sub>ZZ</sub> = 0.321 (0.417) pb for &#8730;s = 7(8) !TeV for M<sub>h</sub> = 125 !GeV, which corresponds to coupling modifiers of &kappa;<sub>W</sub><sup>2</sup>; 0.745 (0.744) and &kappa;<sub>Z</sub><sup>2</sup>; 0.255 (0.256) for &#8730;s = 7(8) !TeV.


------------

---++ 3. gg&#8594;ZH  Process

   * Cross sections are calculated in LO QCD with !VH@NNLO program. 
   * QCD scales: &mu;=&mu;<sub>F</sub>=&mu;<sub>R</sub>=M<sub>ZH</sub>
   * PDF set:  !PDF4LHC15_nnlo_mc
   * References: [Brein:2012ne,Harlander:2013mla] for !VH@NNLO. [Han:1991ia,Kniehl:1990iv,Kniehl:2011aa] for original calculations for gg&#8594;ZH process

<table>
<tr>
|   *7 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>b</sub><sup>2</sup> [fb]	|	&sigma;<sub>Z</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>b</sub> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>Z</sub> [fb]	|	&sigma;<sub>b</sub>&sigma;<sub>Z</sub> [fb]	|	&sigma;(ZZ&#8594;ZH) [fb]	|	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>b</sub><sup>2</sup>	|	&kappa;<sub>Z</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>b</sub>	|	&kappa;<sub>t</sub>&kappa;<sub>Z</sub>	|	&kappa;<sub>b</sub>&kappa;<sub>Z</sub>	|
|	124.50 	|	3.87 	|	0.005 	|	25.07 	|	0.04 	|	-17.69 	|	-0.16 	|	11.13 	|	0.347 	|	0.0005 	|	2.252 	|	0.004 	|	-1.589 	|	-0.015 	|
|	125.00 	|	3.86 	|	0.005 	|	24.96 	|	0.04 	|	-17.64 	|	-0.16 	|	11.06 	|	0.349 	|	0.0005 	|	2.256 	|	0.004 	|	-1.595 	|	-0.015 	|
|	125.09 	|	3.86 	|	0.005 	|	24.94 	|	0.04 	|	-17.63 	|	-0.16 	|	11.05 	|	0.349 	|	0.0005 	|	2.257 	|	0.004 	|	-1.595 	|	-0.015 	|
|	125.50 	|	3.85 	|	0.005 	|	24.86 	|	0.04 	|	-17.60 	|	-0.16 	|	11.00 	|	0.350 	|	0.0005 	|	2.260 	|	0.004 	|	-1.600 	|	-0.014 	|
|   *8 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>b</sub><sup>2</sup> [fb]	|	&sigma;<sub>Z</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>b</sub> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>Z</sub> [fb]	|	&sigma;<sub>b</sub>&sigma;<sub>Z</sub> [fb]	|	&sigma;(ZZ&#8594;ZH) [fb]	|	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>b</sub><sup>2</sup>	|	&kappa;<sub>Z</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>b</sub>	|	&kappa;<sub>t</sub>&kappa;<sub>Z</sub>	|	&kappa;<sub>b</sub>&kappa;<sub>Z</sub>	|
|	124.50 	|	5.89 	|	0.007 	|	36.55 	|	0.05 	|	-26.37 	|	-0.22 	|	15.91 	|	0.370 	|	0.0004 	|	2.298 	|	0.003 	|	-1.658 	|	-0.014 	|
|	125.00 	|	5.88 	|	0.007 	|	36.41 	|	0.05 	|	-26.31 	|	-0.21 	|	15.82 	|	0.372 	|	0.0004 	|	2.302 	|	0.003 	|	-1.663 	|	-0.013 	|
|	125.09 	|	5.88 	|	0.007 	|	36.38 	|	0.05 	|	-26.30 	|	-0.21 	|	15.80 	|	0.372 	|	0.0004 	|	2.303 	|	0.003 	|	-1.665 	|	-0.014 	|
|	125.50 	|	5.87 	|	0.007 	|	36.26 	|	0.05 	|	-26.25 	|	-0.22 	|	15.73 	|	0.373 	|	0.0004 	|	2.306 	|	0.003 	|	-1.669 	|	-0.014 	|
|   *13 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>b</sub><sup>2</sup> [fb]	|	&sigma;<sub>Z</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>b</sub> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>Z</sub> [fb]	|	&sigma;<sub>b</sub>&sigma;<sub>Z</sub> [fb]	|	&sigma;(ZZ&#8594;ZH) [fb]	|	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>b</sub><sup>2</sup>	|	&kappa;<sub>Z</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>b</sub>	|	&kappa;<sub>t</sub>&kappa;<sub>Z</sub>	|	&kappa;<sub>b</sub>&kappa;<sub>Z</sub>	|
|	124.50 	|	23.47 	|	0.021 	|	126.80 	|	0.14 	|	-98.07 	|	-0.58 	|	51.75 	|	0.454 	|	0.0004 	|	2.450 	|	0.003 	|	-1.895 	|	-0.011 	|
|	125.00 	|	23.45 	|	0.021 	|	126.34 	|	0.14 	|	-97.87 	|	-0.58 	|	51.47 	|	0.456 	|	0.0004 	|	2.455 	|	0.003 	|	-1.902 	|	-0.011 	|
|	125.09 	|	23.44 	|	0.021 	|	126.26 	|	0.14 	|	-97.83 	|	-0.58 	|	51.42 	|	0.456 	|	0.0004 	|	2.456 	|	0.003 	|	-1.903 	|	-0.011 	|
|	125.50 	|	23.42 	|	0.020 	|	125.88 	|	0.14 	|	-97.66 	|	-0.57 	|	51.19 	|	0.457 	|	0.0004 	|	2.459 	|	0.003 	|	-1.908 	|	-0.011 	|
|   *14 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>b</sub><sup>2</sup> [fb]	|	&sigma;<sub>Z</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>b</sub> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>Z</sub> [fb]	|	&sigma;<sub>b</sub>&sigma;<sub>Z</sub> [fb]	|	&sigma;(ZZ&#8594;ZH) [fb]	|	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>b</sub><sup>2</sup>	|	&kappa;<sub>Z</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>b</sub>	|	&kappa;<sub>t</sub>&kappa;<sub>Z</sub>	|	&kappa;<sub>b</sub>&kappa;<sub>Z</sub>	|
|	124.50 	|	28.49 	|	0.024 	|	151.02 	|	0.16 	|	-117.89 	|	-0.62 	|	61.12 	|	0.466 	|	0.0004 	|	2.471 	|	0.003 	|	-1.929 	|	-0.010 	|
|	125.00 	|	28.46 	|	0.024 	|	150.48 	|	0.16 	|	-117.65 	|	-0.61 	|	60.79 	|	0.468 	|	0.0004 	|	2.475 	|	0.003 	|	-1.935 	|	-0.010 	|
|	125.09 	|	28.45 	|	0.024 	|	150.45 	|	0.16 	|	-117.67 	|	-0.67 	|	60.73 	|	0.468 	|	0.0004 	|	2.477 	|	0.003 	|	-1.937 	|	-0.011 	|
|	125.50 	|	28.43 	|	0.024 	|	149.98 	|	0.16 	|	-117.46 	|	-0.64 	|	60.45 	|	0.470 	|	0.0004 	|	2.481 	|	0.003 	|	-1.943 	|	-0.011 	|
</tr>
</table>
   * [[https://arxiv.org/abs/1606.02266][ATLAS and CMS 7&8TeV coupling paper (CERN-EP-2016-100)]] Table 4: 2.27&kappa;<sub>Z</sub><sup>2</sup> + 0.37&kappa;<sub>t</sub><sup>2</sup> - 1.64 &kappa;<sub>t</sub>&kappa;<sub>Z</sub> for &#8730;s = 8 !TeV and M<sub>h</sub> = 125.09 !GeV.

------------

---++ 4. tH Process

   * Single-top associated Higgs production in s-ch (qqbar->tHb), t-ch (qb->tHq) and W-associated (gb->tHW) production modes.
   * s-ch cross section is small (about 4% of t-ch) and neglected. 
   * All the results are obtained with !MG5_aMC@NLO [[%ATTACHURL%/tables_tH_tWH_kappas.pdf][(Note by !MG5 group)]]
      * Standard Model results are generated with the default distribution of !MG5. 
      * kappa-framework results are generated using the [[http://feynrules.irmp.ucl.ac.be/wiki/HiggsCharacterisation][HC_NLO_X0 model]]. 

---+++  t-ch (qb->tHq)

   * Cross sections are calculated in NLO QCD with !MG5_aMC@NLO 
   * QCD scales: &mu;=&mu;<sub>F</sub>=&mu;<sub>R</sub>=(m<sub>H</sub>+m<sub>t</sub>)/4
   * PDF set:  !PDF4LHC15_nlo_30_pdfas
   * References: [Demartin:2015uha] for tH process, CERN Yellow Report 4, Section I.6.6.1.1

<table>
<tr>
|   *7 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>W</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>W</sub> [fb]	|	&sigma;(t-ch) [fb]      |	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>W</sub>	|
|	125.00 	|	37.99 	|	48.79 	|	-74.52 	|	12.26	|	3.099 	|	3.980 	|	-6.078 	|
|   *8 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>W</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>W</sub> [fb]	|	&sigma;(t-ch) [fb]      |	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>W</sub>	|
|	125.00 	|	55.78 	|	72.62 	|	-109.7 	|	18.69	|	2.984 	|	3.886 	|	-5.870 	|
|   *13 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>W</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>W</sub> [fb]	|	&sigma;(t-ch) [fb]      |	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>W</sub>	|
|	125.00 	|	195.5 	|	265.7 	|	-387.0 	|	74.25	|	2.633 	|	3.578 	|	-5.211 	|
|   *14 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>W</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>W</sub> [fb]	|	&sigma;(t-ch) [fb]      |	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>W</sub>	|
|	125.00 	|	232.6 	|	318.8 	|	-461.3 	|	90.10	|	2.582 	|	3.538 	|	-5.120 	|
</tr>
</table>
   * [[https://arxiv.org/abs/1606.02266][ATLAS and CMS 7&8TeV coupling paper (CERN-EP-2016-100)]] Table 4: 3.40&kappa;<sub>t</sub><sup>2</sup> + 3.56&kappa;<sub>W</sub><sup>2</sup> - 5.96 &kappa;<sub>t</sub>&kappa;<sub>W</sub> for &#8730;s = 8 !TeV and M<sub>h</sub> = 125.09 !GeV.

---+++  W-associated (gb->tHW)

   * Cross sections are calculated in NLO QCD with !MG5_aMC@NLO 
   * QCD scales: &mu;=&mu;<sub>F</sub>=&mu;<sub>R</sub>=(m<sub>H</sub>+m<sub>t</sub>+m<sub>W</sub>)/2
   * PDF set:  !PDF4LHC15_nlo_30_pdfas
   * References: [Demartin:2016axk] for tHW process, employing the !DR2 technique.

<table>
<tr>
|   *7 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>W</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>W</sub> [fb]	|	&sigma;(tHW) [fb]    |  	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>W</sub>	|
|	125.00 	|	5.143 	|	3.784 	|	-6.697 	|	2.23		|	2.306 	|	1.697 	|	-3.003 	|
|   *8 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>W</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>W</sub> [fb]	|	&sigma;(tHW) [fb]    |	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>W</sub>	|
|	125.00 	|	8.515 	|	6.381 	|	-11.39 	|	3.51		|	2.426 	|	1.818 	|	-3.244 	|
|   *13 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>W</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>W</sub> [fb]	|	&sigma;(tHW) [fb]    |	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>W</sub>	|
|	125.00 	|	44.13 	|	35.05 	|	-64.01 	|	15.17	|	2.909 	|	2.310 	|	-4.220 	|
|   *14 !TeV*   ||||||||||||||
|	M<sub>h</sub> [GeV]	|	&sigma;<sub>t</sub><sup>2</sup> [fb]	|	&sigma;<sub>W</sub><sup>2</sup> [fb]	|	&sigma;<sub>t</sub>&sigma;<sub>W</sub> [fb]	|	&sigma;(tHW) [fb]    |	&kappa;<sub>t</sub><sup>2</sup>	|	&kappa;<sub>W</sub><sup>2</sup>	|	&kappa;<sub>t</sub>&kappa;<sub>W</sub>	|
|	125.00 	|	55.46 	|	44.49 	|	-81.39 	|	18.56	|	2.988 	|	2.397 	|	-4.385 	|
</tr>
</table>
   * [[https://arxiv.org/abs/1606.02266][ATLAS and CMS 7&8TeV coupling paper (CERN-EP-2016-100)]] Table 4: 1.84&kappa;<sub>t</sub><sup>2</sup> + 1.57&kappa;<sub>W</sub><sup>2</sup> - 2.41 &kappa;<sub>t</sub>&kappa;<sub>W</sub> for &#8730;s = 8 !TeV and M<sub>h</sub> = 125.09 !GeV.

------------

---++ 5. HH Process

   * See CERN Report 4 HH section on the dependence on the EFT coefficients. For HH, it doesn't make sense to have the top Yukawa varied without varying the HHH coupling. The bottom-quark loop is fairly irrelevant for HH production. 

------------

---++ 6. Higgs boson decay width

   * The Higgs-boson decay branching ratios in CERN Report 4 have changed only below O(1%) with respect to those in CERN Report 3, hence one can use partial decay width for h&#8594;gg (Table 39), h&#8594;&gamma;&gamma; (Table 40) and h&#8594;Z&gamma; (Table 41) in CERN Report 3.
   * Inclusion of charm quark is under investigation with HDECAY. 

------------



-- Main.ReiTanaka - 2016-06-23
Attachments
Topic attachments
I	Attachment	History	Action	Size	Date	Who	Comment
pdf	inclusive_higgs_n3lo_ichep.pdf	r1	manage	161.9 K	2016-06-23 - 15:58	ReiTanaka	ggF cross section in N3LO QCD (Zürich group)
pdf	tables_tH_tWH_kappas.pdf	r1	manage	167.4 K	2017-01-26 - 19:28	ReiTanaka	tH (t-ch and tHW) cross sections (by F. Demartin)
Topic revision: r15 - 2017-01-26 - ReiTanaka
LHCPhysics
LHCPhysics Web
LHCPhysics.Higgs
Public webs
- Cern Search
- TWiki Search
- Google Search
LHCPhysics All webs
Copyright &© 2008-2023 by the contributing authors. All material on this collaboration platform is the property of the contributing authors.
or Ideas, requests, problems regarding TWiki? use Discourse or Send feedback