Factorization of low-energy gluons in exclusive processes

Abstract

We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we examine the process of e^+e^- annihilation through a virtual photon into two light mesons. In an intermediate step, we establish a factorized form that contains a soft function that is free of collinear divergences. In contrast, in soft-collinear effective theory, the low-energy collinear modes factor most straightforwardly into the soft function. We point out that the cancellation of the soft function, which relies on the color-singlet nature of the external hadrons, fails when the soft function contains low-energy collinear modes.

18 pages, 10 figures, 2 tables, version published in Physical Review D

References in corpus (2)

• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Factorization theorems for exclusive heavy-quarkonium production

Cited by in corpus (11)

• Inclusive double-quarkonium production at the Large Hadron Collider
• Possible resolution of the B -> pi pi, pi K puzzles
• Pair double heavy diquark production in high energy proton-proton collisions
• Relativistic corrections to the axial vector and vector currents in the bar{b}c meson system at order alpha_s
• Relativistic Corrections to the Exclusive Decays of C-even Bottomonia into S-wave Charmonium Pairs
• Covariant calculation of a two-loop test of nonrelativistic QCD factorization
• Exclusive quarkonium production or decay in soft gluon factorization
• Resummation of relativistic corrections to exclusive productions of charmonia in e+ e- collisions
• p p -> J/psi+Upsilon+X as a clean probe to the quarkonium production mechanism
• Higher-order corrections to exclusive production of charmonia at B factories
• Endpoint Logarithms in e+e- -> J/psi + eta_c