Three-loop soft function for heavy-to-light quark decays

Brüser, Robin; Liu, Ze Long; Stahlhofen, Maximilian

doi:10.1007/jhep03(2020)071

Title: Three-loop soft function for heavy-to-light quark decays

Journal Article · Thu Mar 12 00:00:00 UTC 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2020)071 · OSTI ID:1764236

Brüser, Robin ^[1];

^[2];

^[3]

Johannes Gutenberg Univ., Mainz (Germany). PRISMA+ Cluster of Excellence; Univ. Siegen (Germany)
Johannes Gutenberg Univ., Mainz (Germany). PRISMA+ Cluster of Excellence; Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Johannes Gutenberg Univ., Mainz (Germany). PRISMA+ Cluster of Excellence

We compute the 1-jettiness soft function for the decay of a heavy quark into a light quark jet plus colorless particles at three-loop order in soft-collinear effective theory. The 1-jettiness measurement fixes the total small light-cone momentum component of the soft radiation with respect to the jet direction. This soft function is a universal ingredient to the factorization of heavy-to-light quark decays in the limit of small 1-jettiness. Our three-loop result is required for resummation at the N³LL' level, e.g. near the endpoint in the photon energy spectrum of the B → X_sγ decay. It is also a necessary ingredient for future calculations of fully-differential heavy-to-light quark decay rates at N³LO using the N -jettiness subtraction method, e.g. for semileptonic top decays. Using our result for the soft anomalous dimension we confirm predictions on the universal infrared structure of QCD scattering amplitudes with a massive external quark at three loops.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: German Research Foundation (DFG); USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1764236

Report Number(s):: LA-UR--20-28943

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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