Abstract
We present the two-loop master integrals relevant to the mathcal{O} (ααs)-corrections to the decay H → boverline{b} through a Htoverline{t} -coupling. We keep the full dependence on the heavy particle masses, but neglect the b-quark mass. The occurring square roots can be rationalised and the result is expressed in terms of multiple polylogarithms.
Highlights
We present the two-loop master integrals relevant to the O(ααs)-corrections to the decay H → bb through a Htt-coupling
For each of the four Feynman diagrams GA-GD we introduce an auxiliary topology with seven propagators
In this paper we presented the two-loop master integrals relevant to the O(ααs)-corrections to the decay H → bb through a Htt-coupling
Summary
We are interested in the mixed O(ααs)-corrections to the decay H → bb through a Httcoupling. For each of the four Feynman diagrams GA-GD we introduce an auxiliary topology with seven propagators. Where D = 4 − 2ε denotes the number of space-time dimensions, γE denotes the EulerMascheroni constant, μ is an arbitrary scale introduced to render the Feynman integral dimensionless, and the quantity ν is defined by ν = νj. The inverse propagators PjX are defined as follows: Topology A: P1A = −k12 +m2t , P4A = −k22 +m2t , P7A = − (k1 −p1)2 +m2t. In order to rationalise the square roots we introduce dimensionless quantities x and y through v.
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