Renormalization of the radiative jet function

Geoffrey T. Bodwin, June Haak Ee, Jungil Lee, Xiang Peng Wang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Article number116025
JournalPhysical Review D
Volume104
Issue number11
DOIs
Publication statusPublished - 2021 Dec 1

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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