Erratum: Top quark mass dependence of the Higgs boson-gluon form factor at three loops [Phys. Rev. D 100 , 034017 (2019)

Joshua Davies,Matthias Steinhauser,Thomas Rauh,Andreas Maier,Ramona Gröber

doi:10.1103/physrevd.102.059901

Abstract

We compute three-loop corrections to the Higgs-gluon form factor, incorporating the top quark mass dependence. Our method is based on the combination of expansions around the top threshold and for large top quark mass, using conformal mapping and Pad\'e approximation to describe the form factor over the full kinematic range.

Highlights

− ð99 − 6nlÞlog2ð1 − zÞð1 − zÞ þ Oðð1 − zÞ3=2Þ; ð1Þ with Ls 1⁄4 logð−4z − i0Þ
Note that the additional term is proportional to ðLs − 2 ln 2Þ 1⁄4 −iπ þ Oð1 − zÞ and does not affect the real part of the coefficient
We find that it is no longer required to enhance the exclusion region for the coefficient of Ls for FðΔ2;0Þ;finðzÞ to Eq (14) in this paper

Summary

Introduction

− ð99 − 6nlÞlog2ð1 − zÞð1 − zÞ þ Oðð1 − zÞ3=2Þ; ð1Þ with Ls 1⁄4 logð−4z − i0Þ. Note that the additional term is proportional to ðLs − 2 ln 2Þ 1⁄4 −iπ þ Oð1 − zÞ and does not affect the real part of the coefficient. Ð3 þ pffiffiffiffiffiffiffiffiffiffi π2Þ 1 − z þ π2 54 − ð99 − 6nlÞlog2ð1 − zÞð1 − zÞ þ Oðð1 − zÞ3=2Þ; ð1Þ

Results

Conclusion