Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond

Abstract

We study master integrals needed to compute the Higgs boson production cross section via gluon fusion in the infinite top quark mass limit, using a canonical form of differential equations for master integrals, recently identified by Henn, which makes their solution possible in a straightforward algebraic way. We apply the known criteria to derive such a suitable basis for all the phase space master integrals in afore mentioned process at next-to-next-to-leading order in QCD and demonstrate that the method is applicable to next-to-next-to-next-to-leading order as well by solving a non-planar topology. Furthermore, we discuss in great detail how to find an adequate basis using practical examples. Special emphasis is devoted to master integrals which are coupled by their differential equations.

33 pages, 6 figures

References in corpus (14)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Algorithm FIRE -- Feynman Integral REduction
• Quark and gluon form factors to three loops
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
• Feynman Diagrams and Differential Equations
• Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections
• Iterative structure of finite loop integrals
• Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass
• Sharpening The Leading Singularity
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Updated Higgs cross section at approximate N${}^3$LO

Cited by in corpus (11)

• Lectures on differential equations for Feynman integrals
• Reducing differential equations for multiloop master integrals
• The $Hb\bar{b}$ form factor to three loops in QCD
• An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO
• On Epsilon Factorized Differential Equations for Elliptic Feynman Integrals
• Calabi-Yau Feynman integrals in gravity: $\epsilon$-factorized form for apparent singularities
• Beam functions for $N$-jettiness at N${}^3$LO in perturbative QCD
• Two-loop master integrals for non-leptonic heavy-to-heavy decays
• On the calculation of soft phase space integral