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
− 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
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