Abstract
We present analytic formulas that describe the fully-differential production of color-singlet final states in q{bar{q}} and gg annihilation, including all the relevant partonic channels, through NNLO QCD. We work within the nested soft-collinear scheme, which allows the fully local subtraction of infrared divergences. We demonstrate analytic cancellation of soft and collinear poles and present formulas for the finite parts of all integrated subtraction terms. These results provide an important building block for calculating NNLO QCD corrections to arbitrary processes at hadron colliders within the nested soft-collinear subtraction scheme.
Highlights
We have argued in Ref. [30] that QCD color coherence removes an interplay between the angles and energies of soft and collinear particles in gauge-invariant QCD amplitudes, leading to a minimal number of subtraction terms that need to be considered
We briefly review the method for computing NNLO QCD corrections described in Ref. [30] and explain how to modify it to simplify the analytic integration of the triple-collinear subtraction terms
We presented compact analytic formulas that describe the fully-differential production of color-singlet final states in hadron collisions
Summary
We briefly review the method for computing NNLO QCD corrections described in Ref. [30] and explain how to modify it to simplify the analytic integration of the triple-collinear subtraction terms. In Eq (2.4), N is a normalization factor that takes into account color and spin averages, s is the partonic centerof-mass energy squared, dLips(V ) is the phase space for the final state V , and [d fi ]. The goal of any subtraction scheme is to extract these divergences and to arrive at the following representation of the NNLO contribution to the cross section. [30], we proposed a framework to achieve the separation of the NNLO contributions to the cross section as in Eq (2.6) For each of these partitions there exists a phase space parametrization that allows the extraction of both soft and collinear singularities in a fully factorized form [10,11];. 3 Results for all the relevant channels are presented
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