Mixed QCD-electroweak corrections to Higgs production via gluon fusion in the small mass approximation

Abstract

We compute the mixed QCD-electroweak corrections to the cross section for the production of a Higgs boson via gluon fusion, in the limit of a small mass of the electroweak gauge bosons. This limit is regular and we calculate it by setting the W, Z masses to zero in the Feynman rules for their propagators. Our analytic results provide an independent check, in a non-trivial limit, of a recent exact computation for the three-loop mixed QCD and electroweak virtual corrections and the corresponding contribution to the cross section in the soft-virtual approximation. From our calculation in the small mass approximation, we can infer the second term in the expansion of the cross section around the threshold limit with its exact dependence on the masses of the W, Z bosons. Furthermore we find that in the small mass approximation the non-factorizable contributions from the real radiation, so far unknown for full gauge boson mass dependence, are modest in comparison to the known factorizable and virtual contributions to the full $\mathcal{O}({\alpha }_s^3{\alpha }^2)$ mixed QCD and electroweak cross-section. This furnishes a new phenomenological test of estimates for the mixed QCD and electroweak corrections, which were based on the hypothesis of factorization of QCD and electroweak corrections.

arXiv comment18 pages, 1 table, 3 figures

References in corpus (58)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• PDF4LHC recommendations for LHC Run II
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Harmonic Polylogarithms
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Higgs boson production at hadron colliders in NNLO QCD
• HIGGS BOSON PRODUCTION AT THE LHC
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Higgs boson gluon-fusion production in N3LO QCD
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• NLO Electroweak Corrections to Higgs Boson Production at Hadron Colliders
• FIRE5: a C++ implementation of Feynman Integral REduction
• Two-loop light fermion contribution to Higgs production and decays
• Kira - A Feynman Integral Reduction Program
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Calculation of the quark and gluon form factors to three loops in QCD
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• QCD Decoupling at Four Loops
• Higgs production and decay: Analytic results at next-to-leading order QCD
• Four-Loop Decoupling Relations for the Strong Coupling
• Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion
• Quark and gluon form factors to three loops
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Finite top quark mass effects in NNLO Higgs boson production at LHC
• Two-loop electroweak corrections to Higgs production at hadron colliders
• Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
• Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order
• Soft triple-real radiation for Higgs production at N3LO
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Pseudoscalar Higgs boson production at hadron colliders in NNLO QCD
• The two-loop soft current in dimensional regularization
• Scalar Particle Contribution to Higgs Production via Gluon Fusion at NLO
• Analytic Results for Massless Three-Loop Form Factors
• Single soft gluon emission at two loops
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Higher order corrections to mixed QCD-EW contributions to Higgs production in gluon fusion
• Real-Virtual contributions to the inclusive Higgs cross-section at N3LO
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• HPro: A NLO Monte-Carlo for Higgs production via gluon fusion with finite heavy quark masses
• Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
• HIGGS BOSON PRODUCTION IN $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}b\bar{b}$
• Higgs boson production at the LHC: NNLO partonic cross sections through order $\epsilon$ and convolutions with splitting functions to N${}^3$LO
• Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
• Electroweak and finite quark-mass effects on the Higgs boson transverse momentum distribution
• One-Loop Single-Real-Emission Contributions to $pp\to H+X$ at Next-to-Next-to-Next-to-Leading Order
• Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO
• Three-loop mixed QCD-electroweak corrections to Higgs boson gluon fusion
• Two-loop electroweak corrections to Higgs-gluon couplings to higher orders in the dimensional regularization parameter
• Calculation of Massless Feynman Integrals using Harmonic Sums
• Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production

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• Collider Physics at the Precision Frontier
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• Exact top-quark mass dependence in hadronic Higgs production
• NLO Corrections to Light-Quark Mixed QCD-EW Contributions to Higgs Production
• Two-loop mixed QCD-EW corrections to $gg\to Hg$
• Collinear expansion for color singlet cross sections
• Electroweak corrections to Higgs boson pair production: The top-Yukawa and self-coupling contributions
• Evaluation of multi-loop multi-scale Feynman integrals for precision physics
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• One-loop weak corrections to Higgs production
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Two-loop amplitude for mixed QCD-EW corrections to $gg\to Hg$