Dimensional schemes for cross sections at NNLO
Abstract 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....
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SpringerOpen
2020-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-7760-x |
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doaj-e3ce2021aac840b586540ba68f04f1092020-11-25T01:31:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-03-0180311210.1140/epjc/s10052-020-7760-xDimensional schemes for cross sections at NNLOC. Gnendiger0A. Signer1Paul Scherrer InstitutPaul Scherrer InstitutAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-020-7760-x |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
C. Gnendiger A. Signer |
| spellingShingle |
C. Gnendiger A. Signer Dimensional schemes for cross sections at NNLO European Physical Journal C: Particles and Fields |
| author_facet |
C. Gnendiger A. Signer |
| author_sort |
C. Gnendiger |
| title |
Dimensional schemes for cross sections at NNLO |
| title_short |
Dimensional schemes for cross sections at NNLO |
| title_full |
Dimensional schemes for cross sections at NNLO |
| title_fullStr |
Dimensional schemes for cross sections at NNLO |
| title_full_unstemmed |
Dimensional schemes for cross sections at NNLO |
| title_sort |
dimensional schemes for cross sections at nnlo |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2020-03-01 |
| description |
Abstract 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. |
| url |
http://link.springer.com/article/10.1140/epjc/s10052-020-7760-x |
| work_keys_str_mv |
AT cgnendiger dimensionalschemesforcrosssectionsatnnlo AT asigner dimensionalschemesforcrosssectionsatnnlo |
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