The impact of the finite top-quark mass on the inclusive Higgs production cross section at higher perturbative orders has been an open question for almost three decades. In this Letter, we report on ...the computation of this effect at next-to-next-to-leading order QCD. For the purely gluonic channel, it amounts to +0.62% relative to the result obtained in the Higgs effective field theory approximation. The formally subleading partonic channels overcompensate this shift, leading to an overall effect of −0.26% at a p p collider energy of 13 TeV, and − 0.1 % at 8 TeV. This result eliminates one of the main theoretical uncertainties to inclusive Higgs production cross section at the LHC.
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We present the calculation of the light neutral CP-even Higgs mass in the MSSM for a heavy SUSY spectrum by resumming enhanced terms through fourth logarithmic order (N
3
LL), keeping terms of ...leading order in the top Yukawa coupling
α
t
, and NNLO in the strong coupling
α
s
. To this goal, the three-loop matching coefficient for the quartic Higgs coupling of the SM to the MSSM is derived to order
α
t
2
α
s
2
by comparing the perturbative EFT to the fixed-order expression for the Higgs mass. The new matching coefficient is made available through an updated version of the program Himalaya. Numerical effects of the higher-order resummation are studied using specific examples, and sources of theoretical uncertainty on this result are discussed.
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We suggest to isolate the loop-induced gluon-initiated component (
g
g
→
Z
H
) for associated
ZH
production by using the similarity of the Drell–Yan-like component for
ZH
production to the
WH
...process. We argue that the cross-section ratio of the latter two processes can be predicted with high theoretical accuracy. Comparing it to the experimental
Z
H
/
W
H
cross-section ratio should allow to probe for new physics in the
g
g
→
Z
H
component at the HL-LHC. We consider typical BSM scenarios in order to exemplify the effect they would have on the proposed observable.
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The light CP even Higgs boson mass,
M
h
, is calculated to three-loop accuracy within the Minimal Supersymmetric Standard Model (MSSM). The result is expressed in terms of
parameters and implemented ...in the computer program
H3m
. The calculation is based on the proper approximations and their combination in various regions of the parameter space. The three-loop effects to
M
h
are typically of the order of a few hundred MeV and opposite in sign to the two-loop corrections. The remaining theory uncertainty due to higher order perturbative corrections is estimated to be less than 1 GeV.
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We present a calculation of the light neutral CP-even Higgs boson pole mass in the real Formula omitted which combines state-of-the-art EFT and fixed-order results, including the three-loop ...fixed-order QCD corrections as well as the resummation of logarithmic terms in the ratio of the weak to the SUSY scale up to fourth logarithmic order. This hybrid calculation should be valid for arbitrary SUSY scales above the weak scale. Comparison to the pure fixed-order and EFT results provides an estimate of their individual validity range.
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FeynGame Harlander, R.V.; Klein, S.Y.; Lipp, M.
Computer physics communications,
November 2020, 2020-11-00, Volume:
256
Journal Article
Peer reviewed
Open access
A java-based graphical tool for drawing Feynman diagrams is presented. It differs from similar existing tools in various respects. For example, it is based on models, consisting of particles (lines) ...and (optionally) vertices, each of which can be given their individual properties (line style, color, arrows, label, etc.). The diagrams can be exported in any standard image format, or as PDF. Aside from its plain graphical aspect, the goal of FeynGame is also educative, as it can check a Feynman diagrams validity. This provides the basis to play games with diagrams, for example. Here we describe one such game where a given set of initial and final states must be connected through a Feynman diagram within a given interaction model.
Program title:FeynGame
CPC Library link to program files:http://dx.doi.org/10.17632/n6ysv5x8wz.1
Developer’s repository links:http://www.robert-harlander.de/software/feyngame, https://gitlab.com/feyngame/FeynGame
Licensing provisions: GNU General Public License 3
Programming language:Java
Nature of problem: Efficient drawing of Feynman diagrams for presentations and publications; playful elementary introduction to the concept of Feynman diagrams
Solution method: Graphical interface which incorporates the Feynman rules for various models of particle interactions.
Restrictions: Only the topological information of the Feynman rules is incorporated.
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A
bstract
We study the production of scalar and pseudoscalar Higgs bosons via gluon fusion and bottom-quark annihilation in the MSSM. Relying on the NNLO-QCD calculation implemented in the public ...code SusHi, we provide precise predictions for the Higgs-production cross section in six benchmark scenarios compatible with the LHC searches. We also provide a detailed discussion of the sources of theoretical uncertainty in our calculation. We examine the dependence of the cross section on the renormalization and factorization scales, on the precise definition of the Higgs-bottom coupling and on the choice of PDFs, as well as the uncertainties associated to our incomplete knowledge of the SUSY contributions through NNLO. In particular, a potentially large uncertainty originates from uncomputed higher-order QCD corrections to the bottom-quark contributions to gluon fusion.
We present a calculation of the light neutral CP-even Higgs boson pole mass in the real
MSSM
which combines state-of-the-art EFT and fixed-order results, including the three-loop fixed-order QCD ...corrections as well as the resummation of logarithmic terms in the ratio of the weak to the SUSY scale up to fourth logarithmic order. This hybrid calculation should be valid for arbitrary SUSY scales above the weak scale. Comparison to the pure fixed-order and EFT results provides an estimate of their individual validity range.
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