The one-loop amplitudes for Higgs + 4 partons with full mass effects

Abstract

We present compact analytic formulae for the one-loop amplitudes for Higgs + 4 parton scattering, $0\to ggggh$, $0\to \bar{q}qggh$ and $0\to \bar{q}q{\bar{q}}^{\prime }{q}^{\prime }h$, mediated by a loop of massive coloured quarks. We exploit the correspondence with a theory in which a massive coloured scalar circulates in the loop to avoid a proliferation in the number of terms in the result. In addition, we use momentum twistors and high precision numerical evaluations to simplify the expressions. The analytic results in this paper, in terms of spinor products, allow construction of an efficient numerical program to calculate the amplitude.

45 pages, 1 figure; v3 updated to published version, corrected typo in Eq. (5.1), added missing reference

References in corpus (13)

• Vector boson pair production at the LHC
• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• Higgs boson gluon-fusion production in N3LO QCD
• OneLOop: for the evaluation of one-loop scalar functions
• Direct extraction of one-loop integral coefficients
• GoSam-2.0: a tool for automated one-loop calculations within the Standard Model and beyond
• Next-to-Leading order Higgs + 2 jet production via gluon fusion
• Direct Extraction Of One Loop Rational Terms
• Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
• Double-Cut of Scattering Amplitudes and Stokes' Theorem
• The Higgs boson at high $p_T$
• Full mass dependence in Higgs boson production in association with jets at the LHC and FCC
• One-loop Integral Coefficients from Generalized Unitarity

Cited by in corpus (19)

• Collider Physics at the Precision Frontier
• Fiducial $q_T$ resummation of color-singlet processes at N${}^3$LL+NNLO
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Two-loop leading-color helicity amplitudes for three-photon production at the LHC
• NLO Corrections to Light-Quark Mixed QCD-EW Contributions to Higgs Production
• Ansätze for Scattering Amplitudes from $p$-adic Numbers and Algebraic Geometry
• Accelerating LHC phenomenology with analytic one-loop amplitudes: A C++ interface to MCFM
• Quintessential Inflation with Dynamical Higgs Generation as an Affine Gravity
• Computational challenges for multi-loop collider phenomenology
• Dynamically Generated Inflationary Lambda-CDM
• Quark Mass Effects in Higgs Production
• Vector boson pair production at one loop: analytic results for the process $q\bar{q}\ell \bar{\ell }{\ell }^{\prime }{\bar{\ell }}^{\prime }g$
• Top-Bottom Interference Contribution to Fully-Inclusive Higgs Production
• Learning the Simplicity of Scattering Amplitudes
• Probing anomalous Higgs boson couplings in Higgs plus jet production at NLO QCD with full $m_t$-dependence
• Top-quark mass effects in H+jet and H+2 jets production
• Two-loop amplitude for mixed QCD-EW corrections to $gg\to Hg$
• Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
• Analytic results for scalar-mediated Higgs boson production in association with two jets