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Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics
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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.
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Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
The integrated double-soft eikonal function for a massive and a massless emitter at arbitrary angle is derived analytically and cross-checked with a semi-numerical subtraction method.
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