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Article
Report number	arXiv:2008.04943 ; TUM-HEP-1270/20 ; CERN-TH-2020-135
Title	Large-x resummation of off-diagonal deep-inelastic parton scattering from d-dimensional refactorization
Author(s)	Beneke, Martin (Munich, Tech. U.) ; Garny, Mathias (Munich, Tech. U.) ; Jaskiewicz, Sebastian (Munich, Tech. U.) ; Szafron, Robert (CERN) ; Vernazza, Leonardo (INFN, Turin ; Turin U.) ; Wang, Jian (Shandong U.)
Publication	2020-10-29
Imprint	2020-08-11
Number of pages	51
Note	50 pages, LaTeX
In:	JHEP 2010 (2020) 196
DOI	10.1007/JHEP10(2020)196
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	The off-diagonal parton-scattering channels $g+\gamma^*$ and $q+\phi^*$ in deep-inelastic scattering are power-suppressed near threshold $x\to 1$. We address the next-to-leading power (NLP) resummation of large double logarithms of $1-x$ to all orders in the strong coupling, which are present even in the off-diagonal DGLAP splitting kernels. The appearance of divergent convolutions prevents the application of factorization methods known from leading power resummation. Employing $d$-dimensional consistency relations from requiring $1/\epsilon$ pole cancellations in dimensional regularization between momentum regions, we show that the resummation of the off-diagonal parton-scattering channels at the leading logarithmic order can be bootstrapped from the recently conjectured exponentiation of NLP soft-quark Sudakov logarithms. In particular, we derive a result for the DGLAP kernel in terms of the series of Bernoulli numbers found previously by Vogt directly from algebraic all-order expressions. We identify the off-diagonal DGLAP splitting functions and soft-quark Sudakov logarithms as inherent two-scale quantities in the large-$x$ limit. We use a refactorization of these scales and renormalization group methods inspired by soft-collinear effective theory to derive the conjectured soft-quark Sudakov exponentiation formula.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © The Authors (License: CC-BY-4.0), sponsored by SCOAP³

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