The thesis computes three-loop and two-loop QCD corrections to Higgs processes with full quark mass dependence, including a new analytic series-expansion treatment of elliptic two-loop master integrals for Higgs-plus-jet production.
Normalized Fuchsian form on Riemann sphere and differential equations for multiloop integrals
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abstract
We consider the question of reducibility of the differential system to normalized Fuchsian form on the Riemann sphere. The differential equations for the multiloop integrals in $\epsilon$-form constitute a particular example of the normalized Fuchsian form. We formulate the algorithmic criterion of reducibility. We also consider the question of the proper choice of variable in the differential system suitable for its reduction to $\epsilon$-form.
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Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
The thesis computes three-loop and two-loop QCD corrections to Higgs processes with full quark mass dependence, including a new analytic series-expansion treatment of elliptic two-loop master integrals for Higgs-plus-jet production.