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Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust

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arxiv 2205.04479 v1 pith:WYXFAM2G submitted 2022-05-09 hep-ph

M. Beneke , M. Garny , S. Jaskiewicz , J. Strohm , R. Szafron , L. Vernazza , J. Wang This is my paper · ORCID
classification hep-ph
keywords factorizationendpointresummationcollidercollinearlogarithmicmethodsoff-diagonal
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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.

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Cited by 5 Pith papers

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