Nested soft-collinear subtractions in NNLO QCD computations

The European Physical Journal. C, Particles and Fields
Fabrizio CaolaRaoul Röntsch

Abstract

We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector where energies and angles of unresolved particles vanish in a correlated fashion is redundant and can be discarded. This simple observation allows us to formulate a transparent iterative subtraction procedure for double-real emission contributions, to demonstrate the cancellation of soft and collinear singularities in an explicit and (almost) process-independent way and to write the result of a NNLO calculation in terms of quantities that can be computed in four space-time dimensions. We illustrate this procedure explicitly in the simple case of [Formula: see text] gluonic corrections to the Drell-Yan process of [Formula: see text] annihilation into a lepton pair. We show that this framework leads to fast and numerically stable computation of QCD corrections.

References

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Feb 9, 2005·Physical Review Letters·Charalampos AnastasiouFrank Petriello
Jun 29, 2006·Physical Review Letters·Kirill Melnikov, Frank Petriello
Jul 9, 2013·Physical Review Letters·Michał CzakonAlexander Mitov
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Dec 6, 2014·Physical Review Letters·T GehrmannL Tancredi
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Mar 12, 2016·Physical Review Letters·Michal CzakonAlexander Mitov
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Oct 22, 2016·Physical Review Letters·Vittorio Del DucaZoltán Trócsányi

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Citations

Jan 14, 2020·The European Physical Journal. C, Particles and Fields·Fabrizio CaolaRaoul Röntsch
Aug 31, 2021·Physical Review Letters·X ChenA Pelloni

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Software Mentioned

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NNLO
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