The $Hb\bar{b}$ vertex at four loops and hard matching coefficients in SCET for various currents

Amlan Chakraborty; Tobias Huber; Roman N. Lee; Andreas von Manteuffel; Robert M. Schabinger; Alexander V. Smirnov; Vladimir A. Smirnov; Matthias Steinhauser

arXiv · 2204.02422

The $Hb\bar{b}$ vertex at four loops and hard matching coefficients in SCET for various currents

Amlan Chakraborty·Tobias Huber·Roman N. Lee·Andreas von Manteuffel·Robert M. Schabinger·Alexander V. Smirnov·Vladimir A. Smirnov·Matthias Steinhauser

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Abstract

We compute the four-loop corrections to the Higgs-bottom vertex within massless QCD and present analytic results for all color structures. The infrared poles of the renormalized form factor agree with the predicted four-loop pattern. Furthermore, we use the results for the Higgs-bottom, photon-quark, and Higgs-gluon form factors to provide hard matching coefficients in soft-collinear effective theory up to four-loop accuracy.

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Amlan Chakraborty, Tobias Huber, Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger, Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser. 2022-04-05. The $Hb\bar{b}$ vertex at four loops and hard matching coefficients in SCET for various currents. https://arxiv.org/abs/2204.02422

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