Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
Abstract Using a careful choice of infrared (IR) subtraction scheme, we demonstrate cancellation of all terms with transcendental weights 0, 1, 2 from the finite part of the full-color two-loop four-gluon N $$ \mathcal{N} $$ = 2 supersymmetric QCD amplitude, with Nf massless supersymmetric quarks. T...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)068 |
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| author | Gregor Kälin Gustav Mogull Alexander Ochirov Bram Verbeek |
| author_facet | Gregor Kälin Gustav Mogull Alexander Ochirov Bram Verbeek |
| author_sort | Gregor Kälin |
| collection | DOAJ |
| description | Abstract Using a careful choice of infrared (IR) subtraction scheme, we demonstrate cancellation of all terms with transcendental weights 0, 1, 2 from the finite part of the full-color two-loop four-gluon N $$ \mathcal{N} $$ = 2 supersymmetric QCD amplitude, with Nf massless supersymmetric quarks. This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where Nf = 2Nc for gauge group SU(Nc). The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. The divergences are written in terms of scalar triangle integrals whose expressions are known to all orders in the dimensional regulator ϵ = (4 − D)/2. We also present integrated expressions for the full-color two-loop four-point amplitudes with both matter and vectors on external legs in which lower-weight terms also cancel using an appropriate IR scheme. This provides us with values for the two-loop cusp, gluonic, and quark anomalous dimensions in N $$ \mathcal{N} $$ = 2 supersymmetric QCD, which are cross-checked between the three different amplitudes. |
| format | Article |
| id | doaj-art-65389598d1d64d109d565c8f01624362 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-65389598d1d64d109d565c8f016243622025-02-09T12:06:24ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114410.1007/JHEP01(2020)068Infrared and transcendental structure of two-loop supersymmetric QCD amplitudesGregor Kälin0Gustav Mogull1Alexander Ochirov2Bram Verbeek3Department of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityETH Zürich, Institut für Theoretische PhysikDepartment of Physics and Astronomy, Uppsala UniversityAbstract Using a careful choice of infrared (IR) subtraction scheme, we demonstrate cancellation of all terms with transcendental weights 0, 1, 2 from the finite part of the full-color two-loop four-gluon N $$ \mathcal{N} $$ = 2 supersymmetric QCD amplitude, with Nf massless supersymmetric quarks. This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where Nf = 2Nc for gauge group SU(Nc). The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. The divergences are written in terms of scalar triangle integrals whose expressions are known to all orders in the dimensional regulator ϵ = (4 − D)/2. We also present integrated expressions for the full-color two-loop four-point amplitudes with both matter and vectors on external legs in which lower-weight terms also cancel using an appropriate IR scheme. This provides us with values for the two-loop cusp, gluonic, and quark anomalous dimensions in N $$ \mathcal{N} $$ = 2 supersymmetric QCD, which are cross-checked between the three different amplitudes.https://doi.org/10.1007/JHEP01(2020)068Scattering AmplitudesSupersymmetric Gauge Theory |
| spellingShingle | Gregor Kälin Gustav Mogull Alexander Ochirov Bram Verbeek Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes Journal of High Energy Physics Scattering Amplitudes Supersymmetric Gauge Theory |
| title | Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes |
| title_full | Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes |
| title_fullStr | Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes |
| title_full_unstemmed | Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes |
| title_short | Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes |
| title_sort | infrared and transcendental structure of two loop supersymmetric qcd amplitudes |
| topic | Scattering Amplitudes Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP01(2020)068 |
| work_keys_str_mv | AT gregorkalin infraredandtranscendentalstructureoftwoloopsupersymmetricqcdamplitudes AT gustavmogull infraredandtranscendentalstructureoftwoloopsupersymmetricqcdamplitudes AT alexanderochirov infraredandtranscendentalstructureoftwoloopsupersymmetricqcdamplitudes AT bramverbeek infraredandtranscendentalstructureoftwoloopsupersymmetricqcdamplitudes |