Bc → ηc form factors at large recoil: SCET analysis and a three-loop consistency check
- 1Universität Siegen
- 2CERN, Theoretical Physics Department
- 3KIT
Abstract
A bstract : The double-logarithmic series of non-relativistic B c → η c form factors at large recoil is governed by a coupled set of integral equations, reflecting an intricate interplay between arbitrarily many soft-quark and soft-gluon exchanges. Whereas we previously derived these integral equations with diagrammatic resummation techniques, we analyze the form factors with methods from Soft-Collinear Effective Theory (SCET) in this work. Although the resulting factorization theorem for the so-called soft-overlap contribution is known to be spoilt by endpoint divergences, it can still be used at the level of bare (regularized) quantities at any fixed order in perturbation theory. By calculating the required ingredients, we show that the SCET analysis confirms the predictions of the integral equations up to three-loop order. We also argue that the iterative structure and the intertwined soft-quark and soft-gluon effects can be derived from standard renormalization-group equations of the B c -meson light-cone distribution amplitudes, provided their inverse moments are regularized with an appropriate cutoff.
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BibTeX
@article{bell2026form,
title = {{Bc → ηc form factors at large recoil: SCET analysis and a three-loop consistency check}},
author = {Guido Bell and Philipp Böer and Thorsten Feldmann and Dennis Horstmann and Vladyslav Shtabovenko},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)050},
url = {https://link.springer.com/10.1007/JHEP10(2026)050},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Bc → ηc form factors at large recoil: SCET analysis and a three-loop consistency check
AU - Guido Bell
AU - Philipp Böer
AU - Thorsten Feldmann
AU - Dennis Horstmann
AU - Vladyslav Shtabovenko
PY - 2026
DA - 2026/10/05
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)050
UR - https://link.springer.com/10.1007/JHEP10(2026)050
AB - A bstract : The double-logarithmic series of non-relativistic B c → η c form factors at large recoil is governed by a coupled set of integral equations, reflecting an intricate interplay between arbitrarily many soft-quark and soft-gluon exchanges. Whereas we previously derived these integral equations with diagrammatic resummation techniques, we analyze the form factors with methods from Soft-Collinear Effective Theory (SCET) in this work. Although the resulting factorization theorem for the so-called soft-overlap contribution is known to be spoilt by endpoint divergences, it can still be used at the level of bare (regularized) quantities at any fixed order in perturbation theory. By calculating the required ingredients, we show that the SCET analysis confirms the predictions of the integral equations up to three-loop order. We also argue that the iterative structure and the intertwined soft-quark and soft-gluon effects can be derived from standard renormalization-group equations of the B c -meson light-cone distribution amplitudes, provided their inverse moments are regularized with an appropriate cutoff.
SN - 1029-8479
ER -