One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities
Abstract We compute one-loop matter amplitudes in homogeneous Maxwell-Einstein supergravities with N $$ \mathcal{N} $$ = 2 supersymmetry using the double-copy construction. We start from amplitudes of N $$ \mathcal{N} $$ = 2 super-Yang-Mills theory with matter that obey manifestly the duality betwee...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2019)153 |
| _version_ | 1818458818563014656 |
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| author | Maor Ben-Shahar Marco Chiodaroli |
| author_facet | Maor Ben-Shahar Marco Chiodaroli |
| author_sort | Maor Ben-Shahar |
| collection | DOAJ |
| description | Abstract We compute one-loop matter amplitudes in homogeneous Maxwell-Einstein supergravities with N $$ \mathcal{N} $$ = 2 supersymmetry using the double-copy construction. We start from amplitudes of N $$ \mathcal{N} $$ = 2 super-Yang-Mills theory with matter that obey manifestly the duality between color and kinematics. Taking advantage of the fact that amplitudes with external hypermultiplets have kinematical numerators which do not present any explicit dependence on the loop momentum, we find a relation between the one-loop divergence of the supergravity amplitudes and the beta function of the non-supersymmetric gauge theory entering the construction. Two distinct linearized counterterms are generated at one loop. The divergence corresponding to the first is nonzero for all homogeneous supergravities, while the divergence associated to the second vanishes only in the case of the four Magical supergravities. |
| first_indexed | 2024-12-14T23:04:30Z |
| format | Article |
| id | doaj.art-924d35ae367b459ea4adc2641e1ec288 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T23:04:30Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-924d35ae367b459ea4adc2641e1ec2882022-12-21T22:44:22ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019313310.1007/JHEP03(2019)153One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravitiesMaor Ben-Shahar0Marco Chiodaroli1Department of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityAbstract We compute one-loop matter amplitudes in homogeneous Maxwell-Einstein supergravities with N $$ \mathcal{N} $$ = 2 supersymmetry using the double-copy construction. We start from amplitudes of N $$ \mathcal{N} $$ = 2 super-Yang-Mills theory with matter that obey manifestly the duality between color and kinematics. Taking advantage of the fact that amplitudes with external hypermultiplets have kinematical numerators which do not present any explicit dependence on the loop momentum, we find a relation between the one-loop divergence of the supergravity amplitudes and the beta function of the non-supersymmetric gauge theory entering the construction. Two distinct linearized counterterms are generated at one loop. The divergence corresponding to the first is nonzero for all homogeneous supergravities, while the divergence associated to the second vanishes only in the case of the four Magical supergravities.http://link.springer.com/article/10.1007/JHEP03(2019)153Extended SupersymmetryScattering AmplitudesSupergravity ModelsSupersymmetric Gauge Theory |
| spellingShingle | Maor Ben-Shahar Marco Chiodaroli One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities Journal of High Energy Physics Extended Supersymmetry Scattering Amplitudes Supergravity Models Supersymmetric Gauge Theory |
| title | One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities |
| title_full | One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities |
| title_fullStr | One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities |
| title_full_unstemmed | One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities |
| title_short | One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities |
| title_sort | one loop amplitudes for n mathcal n 2 homogeneous supergravities |
| topic | Extended Supersymmetry Scattering Amplitudes Supergravity Models Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP03(2019)153 |
| work_keys_str_mv | AT maorbenshahar oneloopamplitudesfornmathcaln2homogeneoussupergravities AT marcochiodaroli oneloopamplitudesfornmathcaln2homogeneoussupergravities |