Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics

Abstract

We consider the double-soft limit of QCD amplitudes with two massive quarks in a back-to-back kinematics accompanied by two soft partons. We integrate analytically the respective double-soft eikonal functions over the phase space of the two soft partons. Within the context of the nested soft-collinear subtraction scheme, our results may serve as one of the integrated subtraction terms needed for the analytic and fully-differential description of next-to-next-to-leading order (NNLO) QCD corrections to colour-singlet decay into massive partons or to heavy-quark pair production.

Collider Physics at the Precision Frontier

“…Nested soft-collinear subtraction [203] has elements of the sector-improved residue subtraction, for example the feature to partition the phase space, however it provides analytic results for the integrated subtraction terms [964][965][966][967][968][969] and aims at a generic local subtraction scheme providing the basic building blocks for the subtraction terms similar to the CS-dipole subtraction scheme at NLO.…”

“…For H, H+jet and HH production in gluon fusion the heavy top limit is understood for the highest loop order entering the calculation. Partial inclusions of heavy quark mass effects in some of the results listed in Table 5 are discussed in Section 2. method analytic integration of subtraction terms subtraction antenna subtraction [948,[975][976][977][978][979][980][981]949] yes sector-improved residue subtraction [952][953][954][955] no nested soft-collinear subtraction [203,[964][965][966][967][968][969] yes…”