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Three-loop soft function for heavy-to-light quark decays
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DOI：10.1007/JHEP03(2020)071.png)
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Abstract
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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 (NLL)-L-3 ' level, e.g. near the endpoint in the photon energy spectrum of the B -> X-s gamma decay. It is also a necessary ingredient for future calculations of fully-differential heavy-to-light quark decay rates at (NLO)-L-3 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.
Keywords:
Perturbative QCD
Resummation
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