We present the analytic computation of the planar master integrals which occurs in the calculation of the two-loop light fermion electroweak corrections to the production of a Higgs boson in association with a jet in gluon-gluon fusion channel. The complete dependence on the electroweak-boson mass has been taken into account. The evaluation of the master integrals is done using the differential equation method with the canonical basis approach. The solution is given as a series expansion in the dimensional regularization parameter up to weight four. The coefficients in the expansion are given in terms of multiple-polylogarithms.
Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production / Casconi V.; Becchetti M.; Bonciani R.; Del Duca V.; Moriello F.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - ELETTRONICO. - 375:(2019), pp. 0-0. ( 14th International Symposium on Radiative Corrections, RADCOR 2019 fra 2019).
Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
Bonciani R.;
2019
Abstract
We present the analytic computation of the planar master integrals which occurs in the calculation of the two-loop light fermion electroweak corrections to the production of a Higgs boson in association with a jet in gluon-gluon fusion channel. The complete dependence on the electroweak-boson mass has been taken into account. The evaluation of the master integrals is done using the differential equation method with the canonical basis approach. The solution is given as a series expansion in the dimensional regularization parameter up to weight four. The coefficients in the expansion are given in terms of multiple-polylogarithms.
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