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May 14 – 16, 2021
上海新世界丽笙大酒店
Asia/Shanghai timezone

Large-x resummation of off-diagonal deep-inelastic parton scattering

May 15, 2021, 2:30 PM
30m
园景楼二楼 宴会厅C (上海新世界丽笙大酒店)

园景楼二楼 宴会厅C

上海新世界丽笙大酒店

南京西路88号,上海

Speaker

Jian Wang (Shandong University)

Description

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/ε 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.

Primary author

Jian Wang (Shandong University)

Presentation materials