Quark mass effects in two-loop Higgs amplitudes

Abstract

We provide two two-loop amplitudes relevant for precision Higgs physics. The first is the two-loop amplitude for Higgs boson production through gluon fusion with exact dependence on the top quark mass up to squared order in the dimensional regulator $\epsilon$. The second result we provide is the two-loop amplitude for the decay of a Higgs boson into a pair of massive bottom quarks through the Higgs-to-gluon coupling in the infinite top mass limit. Both amplitudes are computed by finding canonical bases of master integrals, which we evaluate explicitly in terms of harmonic polylogarithms. We obtain the bare, renormalized and IR-subtracted amplitude and provide the results in terms of building blocks suitable to changing renormalization schemes.

arXiv commentancillary files in folder: 'source/ancillary_material'

References in corpus (50)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Harmonic Polylogarithms
• Multiloop integrals in dimensional regularization made simple
• HIGGS BOSON PRODUCTION AT THE LHC
• Differential Equations for Two-Loop Four-Point Functions
• Higgs boson gluon-fusion production in N3LO QCD
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Numerical evaluation of multiple polylogarithms
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• TikZ-Feynman: Feynman diagrams with TikZ
• PolyLogTools - Polylogs for the masses
• Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass
• One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons
• Finite top quark mass effects in NNLO Higgs boson production at LHC
• Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
• Analytic Results for Virtual QCD Corrections to Higgs Production and Decay
• Expansion by regions: revealing potential and Glauber regions automatically
• Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence
• Extension of HPL to complex arguments
• Geometric approach to asymptotic expansion of Feynman integrals
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Singular terms of helicity amplitudes at one-loop in QCD and the soft limit of the cross sections of multi-parton processes
• NLO QCD corrections to Higgs boson plus jet production with full top-quark mass dependence
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Associated production of a Higgs boson at NNLO
• iHixs 2 - Inclusive Higgs Cross Sections
• The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD
• Higgs boson decay into b-quarks at NNLO accuracy
• Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
• On Higgs decays to hadrons and the R-ratio at N^4LO
• Precision Predictions at N${}^3$LO for the Higgs Boson Rapidity Distribution at the LHC
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Hadronic Higgs Decays
• Associated production of a Higgs boson decaying into bottom quarks at the LHC in full NNLO QCD
• Differential decay rates of CP-even and CP-odd Higgs bosons to top and bottom quarks at NNLO QCD
• Virtual Top-Quark Effects on the H->bb-bar Decay at Next-to-Leading Order in QCD
• Gluon-fusion Higgs production in the Standard Model Effective Field Theory
• NNLO QCD corrections to associated $WH$ production and $H\to b\bar{b}$ decay
• Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
• Exact Top Yukawa corrections to Higgs boson decay into bottom quarks
• Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
• The complete set of two-loop master integrals for Higgs + jet production in QCD
• Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
• Master integrals for the NNLO virtual corrections to $q\bar{q}\to t\bar{t}$ scattering in QCD: the non-planar graphs
• Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD
• One-loop QCD contributions to differential cross-sections for Higgs production at N${}^3$LO

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• Collider Physics at the Precision Frontier
• NLO Corrections to Light-Quark Mixed QCD-EW Contributions to Higgs Production
• Locally finite two-loop amplitudes for electroweak production through gluon fusion
• The Higgs-gluon form factor at three loops in QCD with three mass scales
• Two-loop amplitude for mixed QCD-EW corrections to $gg\to Hg$