HATHOR – HAdronic Top and Heavy quarks crOss section calculatoR
HATHOR is a fast performance tool with different options to choos (like order of calculation, PDF used, collider type etc) to calculate hadronic pair production cross sections of heavy quarks (top, b', t') up to NNLO in proton-proton (pp) or proton-antiproton (ppbar) collisions. All the necessary information about Hathor can be found from the following links:
1) S.Moch's
talk
in the Top20120 conference.
2) The tool is available also under links:
http://www-zeuthen.desy.de/~moch/hathor
http://www.physik.hu-berlin.de/pep/tools/
3) You may also directly contact
P.Uwer or
S.Moch to get the package.
How it works
Functionality of HATHOR is based on the use of the expression:
where

is a quark-antiquark pair production cross sections induced by i-th and j-th partons interaction,

and

are

-th and

-th partons distribution functions (PDF) in the A-th and B-th incoming nucleons correspondingly,

and

are factorization and renormalization scales, and

and

momentum fraction of each interacting parton in incoming nucleons A and B.
In order to calculate the central value factorization

and renormalization

scale parameters are set to a heavy quark mass, i.e.

.
Along with central value the tool calculates also errors. There are two kind of errors: 1) errors coming from factorization

and renormalization

scales and 2) PDFs errors.
1) Scale errors are calculated by setting

and

in order to get upper and lower deviations from the central value respectively.
2) PDF errors can be calculated in two ways: a) in a simplified way, where upper and lower deviations from the central value are calculated as averaged, according to the formula
![$\Delta = \frac{1}{2}\sqrt{\sum_{i=1}^N[max(\sigma_i^+-\sigma_i^-)]^2}$](/twiki/pub/Sandbox/CrossSectionsCalculationTool/latex23f77f8c42e328d8c5b8bee3f8fae1c1.png)
and thus errors are symmetric;
b) in a more general way, where deviations from the central value are calculated according to the formula
![$\Delta \sigma_{max}^+=\sqrt{\sum^N_{i=1}[max(\sigma_i^+-\sigma_0,\sigma_i^--\sigma_0,0)]^2}$](/twiki/pub/Sandbox/CrossSectionsCalculationTool/latex032aa62ec14e21b4b87685fdd9f45683.png)
, for the upper deviation, and formula
![$\Delta \sigma_{max}^-=\sqrt{\sum^N_{i=1}[max(\sigma_0-\sigma_i^+,\sigma_0-\sigma_i^-,0)]^2}$](/twiki/pub/Sandbox/CrossSectionsCalculationTool/latex0b9ec7b3237e82cbccc3b11a9c4e9d27.png)
, for the lower deviation, so that the errors are asymmetric.
To read more on the subject, go to
References.
Validation
Validation of the tool is done comparing heavy quarks pair production cross sections calculated using this tool with ones obtained from other open official sources, first of all from different articles.
Below Top quark pair production cross sections in proton-proton (
pp) and proton-antiproton (
ppb) collisions calculated by this tool (in
red) are compared with ones obtained from
arXiv/hep-ph/0804.2800
(in
blue). PDF errors are calculated in the asymmetric way. Cross sections are given in picobarns (
pb).
-
(pp, Mt=171 GeV, CME=14 TeV, CTEQ6.5) = 875+102-100(scales) +30-29(PDFs)
- CS_nlo(pp, Mt=171 GeV, CME=14 TeV, CTEQ6.5) = 875+102-101(scales)+30-29(PDFs)
- CS_lo (pp, Mt=171 GeV, CME=14 TeV, CTEQ6.5) = 583+165-120(scales)+20-19(PDFs)
- CS_lo (pp, Mt=171 GeV, CME=14 TeV, CTEQ6.5) = 582+164-120(scales)+20-19(PDFs)
- CS_nlo(pp, Mt=171 GeV, CME=14 TeV, MRST2006nnlo) = 927+109-107(scales)+11-12(PDFs)
- CS_nlo(pp, Mt=171 GeV, CME=14 TeV, MRST2006nnlo) = 925+113-109(scales)+12-11(PDFs)
- CS_lo (pp, Mt=171 GeV, CME=14 TeV, MRST2006nnlo) = 616+172-126(scales)+7-8(PDFs)
- CS_lo (pp, Mt=171 GeV, CME=14 TeV, MRST2006nnlo) = 634+178-130(scales)+7-8(PDFs)
- CS_nlo(ppb, Mt=171 GeV, CME=1.96 TeV, CTEQ6.5) = 7.35+0.38-0.80(scales)+0.49-0.34(PDFs)
- CS_nlo(ppb, Mt=171 GeV, CME=1.96 TeV, CTEQ6.5) = 7.45+0.43-0.83(scales)+0.49-0.34(PDFs)
- CS_lo (ppb, Mt=171 GeV, CME=1.96 TeV, CTEQ6.5) = 5.92+2.34-1.54(scales)+0.32-0.24(PDFs)
- CS_lo (ppb, Mt=171 GeV, CME=1.96 TeV, CTEQ6.5) = 5.92+2.34-1.54(scales)+0.32-0.24(PDFs)
- CS_nlo(ppb, Mt=171 GeV, CME=1.96 TeV, MRST2006nnlo) = 7.62 + 0.45 - 0.88 (scales) + 0.23 - 0.18 (PDFs)
- CS_nlo(ppb, Mt=171 GeV, CME=1.96 TeV, MRST2006nnlo) = 7.70 + 0.53 - 0.93 (scales) + 0.23 - 0.18 (PDFs)
- CS_lo (ppb, Mt=171 GeV, CME=1.96 TeV, MRST2006nnlo) = 6.05 + 2.47 - 1.61 (scales) + 0.16 - 0.13 (PDFs)
- CS_lo (ppb, Mt=171 GeV, CME=1.96 TeV, MRST2006nnlo) = 6.04 + 2.49 - 1.62 (scales) + 0.16 - 0.13 (PDFs)
Here Top quark pair production cross sections in proton-proton (
pp) and proton-antiproton (
ppb) collisions calculated by this tool (in
red) are compared with ones obtained from
arXiv/hep-ph/0906.5273
(in
green). PDF errors are calculated in the symmetric way (as given in the source).
- CS_nnlo(pp, Mt=173 GeV, CME=14 TeV, CTEQ6.6) = 874 + 9 - 33(scales) + 28 - 28(PDFs)
- CS_nlo(pp, Mt=173 GeV, CME=14 TeV, CTEQ6.5) = 833 + 96 - 97(scales) + 28 - 28(PDFs)
- CS_nnlo(pp, Mt=173 GeV, CME=14 TeV, MSTW2008) = 887 + 9 - 33(scales) + 15 - 15(PDFs)
- CS_nlo(pp, Mt=173 GeV, CME=14 TeV, CTEQ6.5) = 846 + 98 - 98(scales) + 15 - 15(PDFs)
- CS_nnlo(ppb, Mt=173 GeV, CME=1.96 TeV, CTEQ6.6) = 7.34 + 0.24 - 0.38 (scales) + 0.41 - 0.41 (PDFs)
- CS_nlo(ppb, Mt=173 GeV, CME=1.96 TeV, CTEQ6.6) = 6.88 + 0.40 - 0.77 (scales) + 0.44?? - 0.33?? (PDFs)
- CS_nnlo(ppb, Mt=173 GeV, CME=1.96 TeV, MSTW2008) = 7.04 + 0.24 - 0.36 (scales) + 0.14 - 0.14 (PDFs)
- CS_nlo(ppb, Mt=173 GeV, CME=1.96 TeV, MSTW2008) = 6.60 + 0.37 - 0.73 (scales) + 0.14 - 0.14 (PDFs)
Some cross section numbers
This section represents some heavy (or top) quark pair production cross sections numbers. Under
Scale errors renormalization and factorization errors are understood. Cross sections are given in picobarns (
pb).
Top pair production
NLO cross sections
This section gives some cross sections for Top pair production in pp collisions. All NLO cross sections are calculated using CTEQ6.6 PDF set.
Top cross sections for 7 TeV
Top Mass (GeV) |
Central value |
Scale errors |
PDF errors |
170 |
162.7 |
+ 19.6 - 21.1 |
+ 11.8 - 10.6 |
171 |
157.8 |
+ 19.0 - 20.5 |
+ 11.4 - 10.6 |
172 |
153.1 |
+ 18.5 - 19.9 |
+ 11.4 - 10.2 |
173 |
148.5 |
+ 17.8 - 19.2 |
+ 11.2 - 09.8 |
174 |
144.2 |
+ 17.3 - 18.7 |
+ 10.8 - 09.6 |
175 |
139.9 |
+ 16.7 - 18.1 |
+ 10.9 - 09.3 |
Top cross sections for 10 TeV
Top Mass (GeV) |
Central value |
Scale errors |
PDF errors |
170 |
408.6 |
+ 48.9 - 49.9 |
+ 20.1 - 18.5 |
171 |
397.4 |
+ 47.4 - 48.8 |
+ 18.8 - 18.7 |
172 |
386.4 |
+ 45.6 - 47.6 |
+ 17.9 - 18.8 |
173 |
375.6 |
+ 44.3 - 46.5 |
+ 17.7 - 18.7 |
174 |
364.9 |
+ 43.1 - 45.0 |
+ 17.7 - 17.5 |
175 |
354.7 |
+ 42.3 - 43.5 |
+ 17.6 - 17.0 |
Top cross sections for 14 TeV
Top Mass (GeV) |
Central value |
Scale errors |
PDF errors |
170 |
903.4 |
+ 105.5 - 105.8 |
+ 26.7 - 31.5 |
171 |
877.9 |
+ 103.3 - 102.2 |
+ 28.3 - 28.2 |
172 |
855.0 |
+ 100.2 - 99.2 |
+ 25.8 - 29.0 |
173 |
833.1 |
+ 96.4 - 97.2 |
+ 26.9 - 28.3 |
174 |
810.9 |
+ 93.5 - 94.9 |
+ 24.9 - 29.0 |
175 |
788.6 |
+ 92.3 - 90.7 |
+ 27.7 - 25.4 |
4th generation quarks pair production
NLO cross sections
In this section you can find some cross section numbers for heavy quark pair production in pp and ppbar collisions.
1.96 TeV cross sections for ppbar (Tevatron) collisions
Quark mass (GeV) |
Central value |
Scale errors |
PDF errors |
|
160 |
10.41 |
+ 0.62 - 1.17 |
+ 0.70 - 0.54 |
x 1 |
180 |
5.55 |
+ 0.32 - 0.62 |
+ 0.35 - 0.26 |
x 1 |
200 |
3.08 |
+ 0.18 - 0.35 |
+ 0.18 - 0.14 |
x 1 |
220 |
1.76 |
+ 0.11 - 0.20 |
+ 0.10 - 0.08 |
x 1 |
240 |
[ 10.25 |
+ 0.66 - 1.22 |
+ 0.56 - 0.47 ] |
x 0.1 |
260 |
[ 6.05 |
+ 0.42 - 0.74 |
+ 0.34 - 0.28 ] |
x 0.1 |
280 |
[ 3.60 |
+ 0.27 - 0.45 |
+ 0.21 - 0.18 ] |
x 0.1 |
300 |
[ 2.16 |
+ 0.17 - 0.28 |
+ 0.14 - 0.12 ] |
x 0.1 |
320 |
[ 1.30 |
+ 0.11 - 0.17 |
+ 0.09 - 0.08 ] |
x 0.1 |
340 |
[ 7.79 |
+ 0.71 - 1.07 |
+ 0.60 - 0.52 ] |
x 0.01 |
360 |
[ 4.67 |
+ 0.46 - 0.66 |
+ 0.41 - 0.34 ] |
x 0.01 |
380 |
[ 2.80 |
+ 0.29 - 0.41 |
+ 0.27 - 0.23 ] |
x 0.01 |
400 |
[ 1.66 |
+ 0.19 - 0.25 |
+ 0.18 - 0.15 ] |
x 0.01 |
420 |
[ 0.98 |
+ 0.12 - 0.15 |
+ 0.12 - 0.10 ] |
x 0.01 |
440 |
[ 5.77 |
+ 0.72 - 0.92 |
+ 0.77 - 0.62 ] |
x 0.001 |
460 |
[ 3.36 |
+ 0.44 - 0.55 |
+ 0.50 - 0.40 ] |
x 0.001 |
480 |
[ 1.93 |
+ 0.27 - 0.32 |
+ 0.32 - 0.25 ] |
x 0.001 |
500 |
[ 1.10 |
+ 0.16 - 0.19 |
+ 0.20 - 0.16 ] |
x 0.001 |
520 |
[ 6.18 |
+ 0.96 - 1.09 |
+ 1.24 - 0.97 ] |
x 0.0001 |
540 |
[ 3.41 |
+ 0.56 - 0.62 |
+ 0.76 - 0.60 ] |
x 0.0001 |
560 |
[ 1.85 |
+ 0.32 - 0.35 |
+ 0.46 - 0.36 ] |
x 0.0001 |
580 |
[ 0.99 |
+ 0.18 - 0.19 |
+ 0.27 - 0.21 ] |
x 0.0001 |
600 |
[ 5.15 |
+ 0.97 - 1.02 |
+ 1.56 - 1.23 ] |
x 0.00001 |
7 TeV cross sections for pp (LHC) collisions
Quark mass (GeV) |
central value |
Scale errors |
PDF errors |
|
300 |
7.32 |
+ 0.77 - 0.92 |
+ 0.96 - 0.77 |
x 1 |
325 |
4.59 |
+ 0.47 - 0.58 |
+ 0.62 - 0.52 |
x 1 |
350 |
2.95 |
+ 0.30 - 0.37 |
+ 0.44 - 0.35 |
x 1 |
375 |
1.94 |
+ 0.19 - 0.24 |
+ 0.30 - 0.24 |
x 1 |
400 |
1.31 |
+ 0.13 - 0.16 |
+ 0.21 - 0.17 |
x 1 |
450 |
[ 6.21 |
+ 0.59 - 0.77 |
+ 1.09 - 0.84 ] |
x 0.1 |
500 |
[ 3.11 |
+ 0.29 - 0.38 |
+ 0.59 - 0.44 ] |
x 0.1 |
550 |
[ 1.63 |
+ 0.15 - 0.20 |
+ 0.33 - 0.24 ] |
x 0.1 |
600 |
[ 0.89 |
+ 0.08 - 0.11 |
+ 0.19 - 0.14 ] |
x 0.1 |
650 |
[ 4.95 |
+ 0.46 - 0.62 |
+ 1.11 - 0.79 ] |
x 0.01 |
700 |
[ 2.83 |
+ 0.27 - 0.36 |
+ 0.67 - 0.47 ] |
x 0.01 |
750 |
[ 1.65 |
+ 0.16 - 0.21 |
+ 0.42 - 0.28 ] |
x 0.01 |
800 |
[ 0.98 |
+ 0.09 - 0.13 |
+ 0.26 - 0.18 ] |
x 0.01 |
850 |
[ 5.93 |
+ 0.57 - 0.77 |
+ 1.65 - 1.11 ] |
x 0.001 |
900 |
[ 3.61 |
+ 0.36 - 0.47 |
+ 1.07 - 0.71 ] |
x 0.001 |
950 |
[ 2.23 |
+ 0.22 - 0.30 |
+ 0.69 - 0.46 ] |
x 0.001 |
1000 |
[ 1.38 |
+ 0.14 - 0.19 |
+ 0.46 - 0.30 ] |
x 0.001 |
10 TeV cross sections for pp (LHC) collisions
Quark mass (GeV) |
central value |
Scale errors |
PDF errors |
|
300 |
22.3 |
+ 2.3 - 2.7 |
+ 2.1 - 1.8 |
x 1 |
350 |
9.60 |
+ 0.97 - 1.14 |
+ 1.04 - 0.89 |
x 1 |
400 |
4.53 |
+ 0.44 - 0.54 |
+ 0.55 - 0.46 |
x 1 |
450 |
2.29 |
+ 0.22 - 0.27 |
+ 0.31 - 0.25 |
x 1 |
500 |
1.23 |
+ 0.11 - 0.14 |
+ 0.18 - 0.14 |
x 1 |
550 |
[ 6.88 |
+ 0.62 - 0.80 |
+ 1.08 + 0.85 ] |
x 0.1 |
600 |
[ 4.00 |
+ 0.36 - 0.47 |
+ 0.66 - 0.51 ] |
x 0.1 |
650 |
[ 2.40 |
+ 0.21 - 0.28 |
+ 0.41 - 0.32 ] |
x 0.1 |
700 |
[ 1.48 |
+ 0.13 - 0.17 |
+ 0.27 - 0.20 ] |
x 0.1 |
750 |
[ 0.93 |
+ 0.08 - 0.11 |
+ 0.18 - 0.13 ] |
x 0.1 |
800 |
[ 5.97 |
+ 0.51 - 0.69 |
+ 1.19 - 0.86 ] |
x 0.01 |
850 |
[ 3.90 |
+ 0.33 - 0.45 |
+ 0.81 - 0.57 ] |
x 0.01 |
900 |
[ 2.58 |
+ 0.22 - 0.30 |
+ 0.55 - 0.39 ] |
x 0.01 |
950 |
[ 1.73 |
+ 0.15 - 0.20 |
+ 0.39 - 0.27 ] |
x 0.01 |
1000 |
[ 1.17 |
+ 0.10 - 0.14 |
+ 0.27 - 0.19 ] |
x 0.01 |
14 TeV cross sections for pp (LHC) collisions
Quark mass (GeV) |
central value |
Scale errors |
PDF errors |
|
300 |
57.2 |
+ 5.9 - 6.6 |
+ 3.7 - 3.6 |
x 1 |
350 |
25.8 |
+ 2.6 - 2.9 |
+ 2.0 - 1.8 |
x 1 |
400 |
12.8 |
+ 1.2 - 1.5 |
+ 1.1 - 1.0 |
x 1 |
450 |
6.77 |
+ 0.64 - 0.76 |
+ 0.68 - 0.58 |
x 1 |
500 |
3.78 |
+ 0.35 - 0.42 |
+ 0.42 - 0.36 |
x 1 |
550 |
2.21 |
+ 0.20 - 0.25 |
+ 0.26 + 0.22 |
x 1 |
600 |
1.34 |
+ 0.12 - 0.15 |
+ 0.17 - 0.14 |
x 1 |
650 |
[ 8.42 |
+ 0.73 - 0.93 |
+ 1.14 - 0.94 ] |
x 0.1 |
700 |
[ 5.41 |
+ 0.46 - 0.59 |
+ 0.78 - 0.62 ] |
x 0.1 |
750 |
[ 3.56 |
+ 0.30 - 0.39 |
+ 0.54 - 0.42 ] |
x 0.1 |
800 |
[ 2.39 |
+ 0.20 - 0.26 |
+ 0.38 - 0.30 ] |
x 0.1 |
850 |
[ 1.63 |
+ 0.13 - 0.18 |
+ 0.27 - 0.21 ] |
x 0.1 |
900 |
[ 1.13 |
+ 0.09 - 0.12 |
+ 0.19 - 0.15 ] |
x 0.1 |
950 |
[ 7.98 |
+ 0.64 - 0.87 |
+ 1.40 - 1.06 ] |
x 0.01 |
1000 |
[ 5.68 |
+ 0.45 - 0.62 |
+ 1.04 - 0.76 ] |
x 0.01 |
NNLO cross sections
The following NNLO approximate cross sections are calculated using MSTW2008nnlo68cl NNLO PDF.
7 TeV cross sections for pp (LHC) collisions
Quark mass (GeV) |
central value |
Scale errors |
PDF errors |
|
200 |
[ 76.52 |
+ 1.65 - 4.35 |
+ 2.23 - 2.24 ] |
x 1 |
225 |
[ 40.48 |
+ 0.95 - 2.31 |
+ 1.25 - 1.25 ] |
x 1 |
250 |
[ 22.60 |
+ 0.56 - 1.31 |
+ 0.73 - 0.73 ] |
x 1 |
275 |
[ 13.19 |
+ 0.34 -0.76 |
+ 0.44 - 0.44 ] |
x 1 |
300 |
[ 7.99 |
+ 0.22 - 0.47 |
+ 0.28 - 0.27 ] |
x 1 |
325 |
[ 4.99 |
+ 0.14 - 0.29 |
+ 0.18 - 0.18 ] |
x 1 |
350 |
[ 3.20 |
+ 0.10 - 0.19 |
+ 0.12 - 0.12 ] |
x 1 |
375 |
[ 2.10 |
+ 0.07 - 0.12 |
+ 0.08 - 0.08 ] |
x 1 |
400 |
[ 1.41 |
+ 0.05 - 0.08 |
+ 0.05 - 0.05 ] |
x 1 |
425 |
[ 9.57 |
+ 0.32 - 0.57 |
+ 0.38 - 0.37 ] |
x 0.1 |
450 |
[ 6.62 |
+ 0.22 - 0.39 |
+ 0.27 - 0.26 ] |
x 0.1 |
475 |
[ 4.64 |
+ 0.16 - 0.29 |
+ 0.19 - 0.18 ] |
x 0.1 |
500 |
[ 3.30 |
+ 0.12 - 0.20 |
+ 0.14 - 0.13 ] |
x 0.1 |
525 |
[ 2.37 |
+ 0.09 - 0.14 |
+ 0.10 - 0.10 ] |
x 0.1 |
550 |
[ 1.71 |
+ 0.06 - 0.10 |
+ 0.08 - 0.07 ] |
x 0.1 |
575 |
[ 12.53 |
+ 0.49 - 0.77 |
+ 0.58 - 0.54 ] |
x 0.01 |
600 |
[ 9.23 |
+ 0.37 - 0.57 |
+ 0.44 - 0.40 ] |
x 0.01 |
650 |
[ 5.11 |
+ 0.21 - 0.32 |
+ 0.26 - 0.23 ] |
x 0.01 |
700 |
[ 2.90 |
+ 0.12 - 0.18 |
+ 0.16 - 0.14 ] |
x 0.01 |
750 |
[ 1.68 |
+ 0.07 - 0.11 |
+ 0.10 - 0.09 ] |
x 0.01 |
800 |
[ 9.88 |
+ 0.45 - 0.63 |
+ 0.66 - 0.55 ] |
x 0.001 |
850 |
[ 5.89 |
+ 0.28 - 0.38 |
+ 0.43 - 0.35 ] |
x 0.001 |
900 |
[ 3.55 |
+ 0.17 - 0.24 |
+ 0.29 - 0.23 ] |
x 0.001 |
950 |
[ 2.16 |
+ 0.11 - 0.15 |
+ 0.19 - 0.15 ] |
x 0.001 |
1000 |
[ 1.33 |
+ 0.07 - 0.09 |
+ 0.13 - 0.10 ] |
x 0.001 |
8 TeV cross sections for pp (LHC) collisions
Quark mass (GeV) |
central value |
Scale errors |
PDF errors |
|
300 |
[12.34 |
+ 0.30 - 0.69 |
+ 0.40 - 0.40 ] |
x 1 |
325 |
[ 7.81 |
|
] |
x1 |
350 |
[ 5.08 |
+ 0.14 - 0.29 |
+ 0.18 - 0.17 ] |
x 1 |
375 |
[ 3.37 |
|
] |
x1 |
400 |
[ 2.30 |
+ 0.07 - 0.13 |
+ 0.08 - 0.08 ] |
x 1 |
425 |
[ 15.87 |
|
] |
x0.1 |
450 |
[ 11.13 |
+ 0.34 - 0.63 |
+ 0.42 - 0.41 ] |
x 0.1 |
475 |
[ 7.92 |
|
] |
x0.1 |
500 |
[ 5.70 |
+ 0.19 - 0.33 |
+ 0.22 - 0.22 ] |
x 0.1 |
525 |
[ 4.16 |
|
] |
x0.1 |
550 |
[ 3.06 |
+ 0.10 - 0.18 |
+ 0.12 - 0.12 ] |
x 0.1 |
575 |
[ 2.27 |
|
] |
x0.1 |
600 |
[ 16.96 |
+ 0.59 - 0.99 |
+ 0.73 - 0.69 ] |
x 0.01 |
625 |
[ 12.80 |
|
] |
x0.01 |
650 |
[ 9.71 |
+ 0.36 - 0.57 |
+ 0.44 - 0.41 ] |
x 0.01 |
675 |
[ 7.43 |
|
] |
x0.01 |
700 |
[ 5.69 |
+ 0.22 - 0.34 |
+ 0.28 - 0.25 ] |
x 0.01 |
725 |
[ 4.40 |
|
] |
x0.01 |
750 |
[ 3.41 |
+ 0.14 - 0.20 |
+ 0.18 - 0.15 ] |
x 0.01 |
775 |
[ 2.65 |
|
] |
x0.01 |
800 |
[ 2.08 |
+ 0.08 - 0.13 |
+ 0.12 - 0.10 ] |
x 0.01 |
825 |
[ 16.32 |
|
] |
x0.001 |
850 |
[ 12.85 |
|
] |
x0.001 |
875 |
[ 10.17 |
|
] |
x0.001 |
900 |
[ 8.05 |
|
] |
x0.001 |
925 |
[ 6.40 |
|
] |
x0.001 |
950 |
[ 5.12 |
|
] |
x0.001 |
975 |
[ 4.10 |
|
] |
x0.001 |
1000 |
[ 3.28 |
|
] |
x0.001 |
1025 |
[ 2.62 |
|
] |
x0.001 |
1050 |
[ 2.11 |
|
] |
x0.001 |
1075 |
[ 16.97 |
|
] |
x0.0001 |
1100 |
[ 13.69 |
|
] |
x0.0001 |
1125 |
[ 11.03 |
|
] |
x0.0001 |
1150 |
[ 8.93 |
|
] |
x0.0001 |
1175 |
[ 7.19 |
|
] |
x0.0001 |
1200 |
[ 5.85 |
|
] |
x0.0001 |
1225 |
[ 4.75 |
|
] |
x0.0001 |
1250 |
[ 3.85 |
|
] |
x0.0001 |
1275 |
[ 3.11 |
|
] |
x0.0001 |
1300 |
[ 2.54 |
|
] |
x0.0001 |
1325 |
[ 2.06 |
|
] |
x0.0001 |
1350 |
[ 16.75 |
|
] |
x0.00001 |
1375 |
[ 13.61 |
|
] |
x0.00001 |
1400 |
[ 11.04 |
|
] |
x0.00001 |
1425 |
[ 8.99 |
|
] |
x0.00001 |
1450 |
[ 7.30 |
|
] |
x0.00001 |
1475 |
[ 5.94 |
|
] |
x0.00001 |
1500 |
[ 4.81 |
|
] |
x0.00001 |
References
1.
J. Pumplin et al., New generation of parton distributions with uncertainties from global QCD analysis
2.
P.M. Nadolsky et al., Implications of CTEQ global analysis for collider observables
3.
S. Moch and P. Uwer, Theoretical status and prospects for top-quark pair production at hadron colliders
4.
S. Moch and P. Uwer, Heavy-quark pair production at two loops in QCD
5.
U. Langenfeld, S. Moch and P. Uwer, New results for ttbar production at hadron colliders