Analyticity, renormalization, and evolution of the soft-quark function

Abstract

We compute the renormalization and evolution of the soft-quark function that appears in the factorization theorem for Higgs-boson decays to two photons through a $b$-quark loop. Our computation confirms a conjecture by Liu, Mecaj, Neubert, Wang, and Fleming for the form of the renormalization and evolution of the soft-quark function in order ${\alpha }_s$. We also work out the analyticity structure of the soft-quark function by making use of light-cone perturbation theory.

arXiv comment40 pages, 12 figures, as usual plus additional diagrams calculated, typos corrected, text improved, references added

References in corpus (29)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• HIGGS BOSON PRODUCTION AT THE LHC
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Systematic approach to exclusive B ->V l^+l^-, V gamma decays
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Factorization of heavy-to-light form factors in soft-collinear effective theory
• Reparameterization Invariance for Collinear Operators
• Factorization at Subleading Power and Irreducible Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• Factorization in leptonic radiative B -> gamma eνdecays
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Threshold factorization of the Drell-Yan process at next-to-leading power
• Factorization and dispersion relations for radiative leptonic $B$ decay
• Subleading Power Factorization with Radiative Functions
• The Soft Quark Sudakov
• Factorization at Subleading Power and Endpoint Divergences in $h\to \gamma \gamma$ Decay: II. Renormalization and Scale Evolution
• Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• On the resummation of double logarithms in the process Higgs --> two photons
• Bridging light-cone and NRQCD approaches: asymptotic behavior of $B_c$ electromagnetic form factor
• On the Resummation of Large QCD Logarithms in Higgs -> 2 Photons Decay
• Double Logarithms in $e^{+}{e}^{-}\to J/\psi +{\eta }_c$
• Resummation of double logarithms in loop-induced processes with effective field theory

Cited by in corpus (7)

• Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\to h$ Production
• Radiative Quark Jet Function with an External Gluon
• Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power
• Renormalization of the radiative jet function
• Renormalization of the next-to-leading-power $\gamma \gamma \to h$ and $gg\to h$ soft quark functions
• Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s\gamma$ and $\bar{B}\to X_s{\ell }^{+}{\ell }^{-}$ at subleading power
• Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold