Dimensional schemes for cross sections at NNLO

So far, the use of different variants of dimensional regularization has been investigated extensively for two-loop virtual corrections. We extend these studies to real corrections that are also required for a complete computation of physical cross sections at next-to-next-to-leading order. As a case...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2020-03, Vol.80 (3), p.1-12, Article 215
Hauptverfasser: Gnendiger, C., Signer, A.
Format: Artikel
Sprache:eng
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Zusammenfassung:So far, the use of different variants of dimensional regularization has been investigated extensively for two-loop virtual corrections. We extend these studies to real corrections that are also required for a complete computation of physical cross sections at next-to-next-to-leading order. As a case study we consider two-jet production in electron-positron annihilation and describe how to compute the various parts separately in different schemes. In particular, we verify that using dimensional reduction the double-real corrections are obtained simply by integrating the four-dimensional matrix element over the phase space. In addition, we confirm that the cross section is regularization-scheme independent.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-7760-x