Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass

Abstract

In this letter we present the three-loop virtual corrections to the Higgs boson production in the gluon fusion channel where finite top quark mass effects are taken into account. We perform an asymptotic expansion and manage to evaluate five terms in the expansion parameter $M_H^2/M_t^2$. A good convergence is observed almost until $M_H\approx 2M_t$.

arXiv comment10 pages

References in corpus (33)

• 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
• New features of FORM
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• Soft-gluon resummation for Higgs boson production at hadron colliders
• NLO Electroweak Corrections to Higgs Boson Production at Hadron Colliders
• Algorithm FIRE -- Feynman Integral REduction
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• 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 production through gluon fusion: updated cross sections at the Tevatron and the LHC
• Renormalization-Group Improved Prediction for Higgs Production at Hadron Colliders
• Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
• MATAD: a program package for the computation of MAssive TADpoles
• High-precision calculation of multi-loop Feynman integrals by difference equations
• Virtual corrections to gg -> H to two loops in the heavy top limit
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Results and Techniques of Multi-Loop Calculations
• QCD Corrections to Higgs Boson Production: Non- Leading Terms in the Heavy Quark Limit
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Three-Loop Chromomagnetic Interaction in HQET
• Automatic application of successive asymptotic expansions of Feynman diagrams
• Higgs Decay to Gluons at NNLO
• Supersymmetric Higgs production at the Large Hadron Collider

Cited by in corpus (78)

• Inadequacy of zero-width approximation for a light Higgs boson signal
• Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM
• Factorization at the LHC: From PDFs to Initial State Jets
• NMSSM Higgs Benchmarks Near 125 GeV
• Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass
• Higgs Production with a Central Jet Veto at NNLL+NNLO
• Finite top quark mass effects in NNLO Higgs boson production at LHC
• Top-Quark Mediated Effects in Hadronic Higgs-Strahlung
• Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order
• Heavy-quark mass effects in Higgs boson production at the LHC
• Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections
• SusHi Bento: Beyond NNLO and the heavy-top limit
• Universality of transverse-momentum resummation and hard factors at the NNLO
• Higgs production in gluon fusion beyond NNLO
• Collider Physics at the Precision Frontier
• Top-mass effects in differential Higgs production through gluon fusion at order α_s^4
• Higgs Boson Production and Decay at Hadron Colliders
• Resummed Higgs cross section at N${}^3$LL
• Production of scalar and pseudo-scalar Higgs bosons to next-to-next-to-leading order at hadron colliders
• NLO QCD bottom corrections to Higgs boson production in the MSSM
• Top- and bottom-mass effects in hadronic Higgs production at small transverse momenta through LO+NLL
• Higgs Pseudo-Observables, Second Riemann Sheet and All That
• On the Higgs cross section at N${}^3$LO+N${}^3$LL and its uncertainty
• Composite Higgs Search at the LHC
• Higgs production at the LHC: updated cross sections at $\sqrt{s}=8$ TeV
• Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes
• Higgs bosons with large transverse momentum at the LHC
• Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach
• NLO QCD corrections to pseudoscalar Higgs production in the MSSM
• Two loop correction to interference in $gg\to ZZ$
• Higgs boson production at the LHC: NNLO partonic cross sections through order $\epsilon$ and convolutions with splitting functions to N${}^3$LO
• Precision Calculations in Supersymmetric Theories
• Updated Higgs cross section at approximate N${}^3$LO
• Effective Multi-Higgs Couplings to Gluons
• Gluon-fusion Higgs production in the Standard Model Effective Field Theory
• On the NLO QCD corrections to the production of the heaviest neutral Higgs scalar in the MSSM
• The Higgs boson at high $p_T$
• Double resummation for Higgs production
• Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
• Inadequacy of zero-width approximation for a light Higgs boson signal
• Vector-like Bottom Quarks in Composite Higgs Models
• Towards precise predictions for Higgs-boson production in the MSSM
• Full mass dependence in Higgs boson production in association with jets at the LHC and FCC
• Higgs Boson Production via Gluon Fusion: Soft-Gluon Resummation including Mass Effects
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• Employing Helicity Amplitudes for Resummation
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• Pseudo-scalar Higgs Boson Production at Threshold N${}^3$LO and N${}^3$LL QCD
• The next-to-leading order Higgs impact factor in the infinite top-mass limit
• Resummation Improved Rapidity Spectrum for Gluon Fusion Higgs Production
• A case study of quark-gluon discrimination at NNLL' in comparison to parton showers
• Supersymmetric Higgs production in gluon fusion
• Aspects of pQCD at a 100 TeV future hadron collider
• Higgs Boson Cross Section from CTEQ-TEA Global Analysis
• The Higgs transverse momentum distribution in gluon fusion as a multiscale problem
• Improved resummation prediction on Higgs boson production at hadron colliders
• Phenomenology of on-shell Higgs production in the MSSM with complex parameters
• The Higgs Boson in the Standard Model - From LEP to LHC: Expectations, Searches, and Discovery of a Candidate
• Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD
• A fast and accurate method for perturbative resummation of transverse momentum-dependent observables
• Three-loop form factors for Higgs boson pair production in the large top mass limit
• Top Quark Mass Effects in Next-To-Next-To-Next-To-Leading Order Higgs Boson Production: Virtual Corrections
• Jet-veto resummation at N${}^3$LL${}_{\text{p}}$+NNLO in boson production processes
• Exact N${}^3$LO results for $q{q}^{\prime }\to H+X$
• The Higgs-gluon form factor at three loops in QCD with three mass scales
• Testing supersymmetry at the LHC through gluon-fusion production of a slepton pair
• Higgs Production at NNLL${}^{\prime }$+NNLO using Rapidity Dependent Jet Vetoes
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• An approximate NNNLO cross section for Higgs production in gluon fusion
• Theoretical Status of Higgs Production at Hadron Colliders in the SM
• Mass Dependence of Higgs Production at Large Transverse Momentum
• Renormalization-group improved Higgs to two gluons decay rate
• Effective Field Theories for the LHC
• Three-loop vertex corrections
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions
• Beyond Heavy Top Limit In Higgs Boson Production At LHC
• Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis)