High-Energy Limit of QCD beyond Sudakov Approximation

Abstract

We study the high-energy limit of the scattering amplitudes suppressed by the leading power of the quark mass in perturbative quantum chromodynamics. We prove the factorization and perform all-order resummation of the double-logarithmic radiative corrections which determine the asymptotic behavior of the amplitudes. In contrast to the Sudakov logarithms, the mass-suppressed double-logarithmic corrections are induced by soft quark exchange. The structure of the corrections and the asymptotic behavior of the amplitudes in this case crucially depend on the color flow in a given process and are determined by the eikonal color charge nonconservation. We present explicit results for the Higgs boson production in gluon fusion mediated by a light-quark loop and for the leading power-suppressed contributions to the quark form factors, which reveal "magical" universality. Nontrivial relations between the asymptotic behavior of different amplitudes and the amplitudes in different gauge theories are found.

arXiv comment5 pages, 11 figures

References in corpus (17)

• Asymptotic expansion of Feynman integrals near threshold
• Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Two-loop divergences of scattering amplitudes with massive partons
• Power Corrections in the N-jettiness Subtraction Scheme
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• A Subleading Operator Basis and Matching for $gg\to H$
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions
• Asymptotic expansions of two-loop Feynman diagrams in the Sudakov limit
• Quark masses in Higgs production with a jet veto
• Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude
• Enhanced non-perturbative effects through the collinear anomaly
• High-Energy Limit of Quantum Electrodynamics beyond Sudakov Approximation
• On the resummation of double logarithms in the process Higgs --> two photons
• Two-loop Bhabha Scattering at High Energy beyond Leading Power Approximation
• Three-loop quark form factor at high energy: the leading mass corrections

Cited by in corpus (37)

• Collider Physics at the Precision Frontier
• Anomalous dimension of subleading-power N-jet operators
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• Next-to-leading-logarithmic power corrections for $N$-jettiness subtraction in color-singlet production
• First Subleading Power Resummation for Event Shapes
• Anomalous dimension of subleading-power $N$-jet operators II
• Factorization at Subleading Power, Sudakov Resummation and Endpoint Divergences in Soft-Collinear Effective Theory
• Subleading Power Factorization with Radiative Functions
• High-Energy Limit of Mass-Suppressed Amplitudes in Gauge Theories
• Effective Field Theory after a New-Physics Discovery
• The Soft Quark Sudakov
• Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Factorization at Subleading Power and Endpoint Divergences in $h\to \gamma \gamma$ Decay: II. Renormalization and Scale Evolution
• Towards all-order factorization of QED amplitudes at next-to-leading power
• Bottom-quark effects in Higgs production at intermediate transverse momentum
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents
• Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\to h$ Production
• Three-loop massive form factors: complete light-fermion corrections for the vector current
• Higgs Boson Production and Quark Scattering Amplitudes at High Energy through the Next-to-Next-to-Leading Power in Quark Mass
• Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power
• Analytic decay width of the Higgs boson to massive bottom quarks at order ${\alpha }_s^3$
• Higgs-boson production in the full theory at NNLO+PS
• Resummation of double logarithms in loop-induced processes with effective field theory
• NNLO study of top-quark mass renormalization scheme uncertainties in Higgs boson production
• Unintegrated dipole gluon distribution at small transverse momentum
• Two-loop triangle integrals with 4 scales for the $HZV$ vertex
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• Regge Limit of Gauge Theory Amplitudes beyond Leading Power Approximation
• $B_c\to {\eta }_c$ form factors at large recoil: Interplay of soft-quark and soft-gluon dynamics
• Analytic Result of Higgs Boson Decay to Gluons with Full Quark Mass Dependence
• Pseudoscalar MSSM Higgs Production at NLO SUSY--QCD
• Singlet and non-singlet three-loop massive form factors
• QCD Beyond Leading Power