Abstract
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.
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Acknowledgments
We would like to thank B. Ananthanarayan, J. Blümlein, R. Bonciani, P. Marquard and A. Vicini for fruitful discussions and their comments on the manuscript. We specially thank S. Banik for being part of the initial collaboration and for his support with the package MBConicHulls. We also thank A. Sankar for providing the necessary ingredients from massless form factors.
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Datta, S., Rana, N., Ravindran, V. et al. Three loop QCD corrections to the heavy-light form factors in the color-planar limit. J. High Energ. Phys. 2023, 1 (2023). https://doi.org/10.1007/JHEP12(2023)001
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DOI: https://doi.org/10.1007/JHEP12(2023)001