Abstract
We show how to compute directly the renormalization/evolution of the radiative jet function that appears in the factorization theorems for B→γa.,"ν and H→γγ through a b-quark loop. We point out that, in order to avoid double counting of soft contributions, one should use in the factorization theorems a subtracted radiative jet function from which soft contributions have been removed. The soft-contribution subtractions are zero-bin subtractions in the terminology of soft-collinear effective theory. We show that they can be factored from the radiative jet function and that the resulting soft-subtraction function gives rise to a nonlocal renormalization of the subtracted radiative jet function. This is a novel instance in which zero-bin subtractions lead to a nonlocality in the renormalization of a subtracted quantity that is not present in the renormalization of the unsubtracted quantity. We demonstrate the use of our formalism by computing the order-αs evolution kernel for the subtracted radiative jet function. Our result is in agreement with the result that had been inferred previously by making use of the factorization theorem for B→γa.,"ν, but that had been ascribed to the unsubtracted radiative jet function.
Original language | English |
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Article number | 116025 |
Journal | Physical Review D |
Volume | 104 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2021 Dec 1 |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)