Factorization at Subleading Power, Sudakov Resummation and Endpoint Divergences in Soft-Collinear Effective Theory

Abstract

Starting from the first renormalized factorization theorem for a process described at subleading power in soft-collinear effective theory, we discuss the resummation of Sudakov logarithms for such processes in renormalization-group improved perturbation theory. Endpoint divergences in convolution integrals, which arise generically beyond leading power, are regularized and removed by systematically rearranging the factorization formula. We study in detail the example of the $b$-quark induced $h\to \gamma \gamma$ decay of the Higgs boson, for which we resum large logarithms of the ratio $M_h/m_b$ at next-to-leading logarithmic order. We also briefly discuss the related $gg\to h$ amplitude.

6 pages, 1 figure; v2: journal version; significantly extended version including a discussion of Higgs production in gluon-gluon fusion

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• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• High-Energy Limit of QCD beyond Sudakov Approximation
• Renormalization and Scale Evolution of the Soft-Quark Soft Function
• A factorization approach to next-to-leading-power threshold logarithms
• Resummation of double logarithms in loop-induced processes with effective field theory

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