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Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
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The lack of convergence of the convolution integrals appearing in next-to-leading-power (NLP) factorization theorems prevents the applications of existing methods to resum power-suppressed large logarithmic corrections in collider physics. We consider thrust distribution in the two-jet region for the flavour-nonsinglet off-diagonal contribution, where a gluon-initiated jet recoils against a quark-antiquark pair, which is power-suppressed. With the help of operatorial endpoint factorization conditions, we obtain a factorization formula, where the individual terms are free from endpoint divergences in convolutions and can be expressed in terms of renormalized hard, soft and collinear functions in four dimensions. This allows us to perform the first resummation of the endpoint-divergent SCET$_{\rm I}$ observables at the leading logarithmic accuracy using exclusively renormalization-group methods. The presented approach relies on universal properties of the soft and collinear limits and may serve as a paradigm for the systematic NLP resummation for other $1\to 2$ and $2\to 1$ collider physics processes.
Forward citations
Cited by 4 Pith papers
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One-loop matching of QCD currents to power-suppressed two-jet operators
Computes NLO matching of QCD currents to power-suppressed two- and three-particle two-jet operators in SCET up to O(λ²), with endpoint factorization relations shown.
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The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors
Ultra-collinear modes cancel to all orders in on-shell massive Sudakov form factors by gauge invariance, preserving SCET_II factorization, with explicit two-loop soft and jet functions computed via eta regulator and N...
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Associated $ZH$ production in gluon fusion process at NLO+NLL
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Update of the nonlocal sub-leading ${O}_1$-${O}_7$ contribution to $\bar B \to X_s \gamma$ at LO
Updated leading-order calculation of the complete non-local O1-O7 contribution to inclusive B-bar to Xs gamma decay, incorporating correlations with the local Voloshin term and revising its range.
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