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Three loop QCD corrections to the heavy-light form factors in the color-planar limit

Datta, Sudeepan and Rana, Narayan and Ravindran, V. and Sarkar, Ratan (2023) Three loop QCD corrections to the heavy-light form factors in the color-planar limit. In: Journal of High Energy Physics, 2023 (12). ISSN 1029-8479

JHEP12(2023)001.pdf - Published Version

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Official URL: https://doi.org/10.1007/JHEP12%282023%29001


We present the analytic expressions for the color-planar contributions to the heavy-light form factors at three loops in perturbative QCD. These form factors play an important role in the precision predictions of various observables in top quark and flavour physics. We compute the master integrals using the method of differential equations. We perform the ultraviolet renormalization for all the appearing fields and parameters. The analytic results for the renormalized form factors are expressed in terms of generalized harmonic polylogarithms. We also study the Sudakov behaviour of these form factors in the asymptotic limit, which enables us to obtain the complete logarithmic three-loop and partial four-loop contributions.

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: SISSA, Trieste, Italy
Additional Information: The copyright to this article belongs to the authors.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 19 Jan 2024 10:49
Last Modified: 19 Jan 2024 10:49
URI: https://eprints.iisc.ac.in/id/eprint/83593

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