Syntax to calculate NLO EW corrections
Dear experts,
I am trying to calculate the NLO electroweak (aS^2*aEW^1) corrections
to top pair production at the LHC.
As far as I know, the syntax reads
generate LO_process QCD_QED_
So naively I expect the following five statements are equivalent,
because, without the [QED] tag, they generate the same pure QCD LO
contribution (aS^2 * aEW^0).
# process1
> generate p p > t t~ [QED]
# process2
> generate p p > t t~ QED^2=0 QCD^2=4 [QED]
# process3
> generate p p > t t~ QED^2==0 QCD^2=4 [QED]
# process4
> generate p p > t t~ QED^2==0 [QED]
# process5
> generate p p > t t~ QED^2==0 QCD^2==4 [QED]
Processes 1 and 2 give the same result 4.535e+02 +- 1.0e+00 pb
Process 3 gives 6.374e+01 +- 7.5e-02 pb, which is much smaller than
the LO prediction, so it cannot be what I want.
Processes 4 and 5 are interrupted by the error:
No Born diagrams found.
NoDiagramExce
Here are my questions.
(1) What is the difference between processes 1~5?
Does process 3 give any physical predictions?
(2) Do processes 1 and 2 calculate the NLO EW corrections (aS^2*aEW^1)
to the top pair production?
(3) How to calculate full LO + NLO cross sections?
LO = aS^2 * aEW^0 + aS^1 * aEW^1 + aS^1 * aEW^2
NLO = aS^3 * aEW^0 + ... + aS^0 * aEW^3
/******
As an exercise, I have also tried to reproduce the NLO EW corrections
(LO_1 + NLO_2) of ttZ production in table 2 of the NLO EW automation paper
1804.10017, where
LO_1 ~ as^2 * aEW^1 (without subleading contributions ~ as^1*aEW^2 etc.)
NLO_2 ~ as^2 * aEW^2
Here is the script I used
#######
set complex_mass_scheme true
import model loop_qcd_qed_sm_Gmu
define p = g d d~ u u~ s s~ c c~ b b~ a
define j = p
generate p p > t t~ z QCD^2=4 QED^2=2 [QED]
output ttzNLOEW
launch
fixed_order = ON
set ebeam1 6500.0
set ebeam2 6500.0
set pdlabel lhapdf
set lhaid 82000 # LUXqed plus PDF4LHC15 nnlo 100
set fixed_ren_scale False
set fixed_fac_scale False
set dynamical_
# no kinematic cuts added
#######
which gives
LO = 0.5063 +- 0.001458 pb
NLOEW = 0.5150 +- 5.1e-04 pb
and fails to reproduce the results in the NLO EW automation paper 1804.10017
LO=0.50456,
NLOEW=0.50033 (pb).
The LO predictions are consistent up to the Monte-Carlo error,
but the sign of the NLO EW corrections is wrong.
(4) Do you have any idea what is wrong with the script above?
Thanks.
Xiaomin
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- marco zaro Edit question
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