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....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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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 |
| _version_ | 1818148560984604672 |
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| author | C. Gnendiger A. Signer |
| author_facet | C. Gnendiger A. Signer |
| author_sort | C. Gnendiger |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-11T12:53:06Z |
| format | Article |
| id | doaj.art-e3ce2021aac840b586540ba68f04f109 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-11T12:53:06Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-e3ce2021aac840b586540ba68f04f1092022-12-22T01:06:39ZengSpringerOpenEuropean 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 |
| spellingShingle | C. Gnendiger A. Signer Dimensional schemes for cross sections at NNLO European Physical Journal C: Particles and Fields |
| title | 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_short | Dimensional schemes for cross sections at NNLO |
| title_sort | dimensional schemes for cross sections at nnlo |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-7760-x |
| work_keys_str_mv | AT cgnendiger dimensionalschemesforcrosssectionsatnnlo AT asigner dimensionalschemesforcrosssectionsatnnlo |