Two-loop corrections to Higgs boson production
Abstract
In this paper we present the two-loop vertex corrections to scalar and pseudo-scalar Higgs boson production for general colour factors for the gauge group SU(N) We derive a general formula for the vertex correction which holds for conserved and non conserved operators. For the conserved operator we take the electromagnetic vertex correction as an example whereas for the non conserved operators we take the two vertex corrections above. Our observations for the structure of the pole terms 1/\epsilon^4, 1/\epsilon^3 and 1/\epsilon^2 in two loop order are the same as made earlier in the literature for electromagnetism. For the single pole terms 1/\epsilon we can predict the terms containing the Riemann zeta functions \zeta(2) and \zeta(3).Keywords
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