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Three-loop soft function for heavy-to-light quark decays
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Journal Article
Three-loop soft function for heavy-to-light quark decays
2020
Overview
A
bstract
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 N
3
LL′ level, e.g. near the endpoint in the photon energy spectrum of the
B → X
s
γ
decay. It is also a necessary ingredient for future calculations of fully-differential heavy-to-light quark decay rates at N
3
LO 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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,Springer Berlin,SpringerOpen
