All two-loop scalar self-energies and tadpoles in general renormalisable field theories
Abstract We calculate the complete tadpoles and self-energies at the two-loop order for scalars in general renormalisable theories, a crucial component for calculating two-loop electroweak corrections to Higgs-boson masses or for any scalar beyond the Standard Model. We renormalise the amplitudes us...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-05-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-7657-8 |
| _version_ | 1819016538387120128 |
|---|---|
| author | Mark D. Goodsell Sebastian Paßehr |
| author_facet | Mark D. Goodsell Sebastian Paßehr |
| author_sort | Mark D. Goodsell |
| collection | DOAJ |
| description | Abstract We calculate the complete tadpoles and self-energies at the two-loop order for scalars in general renormalisable theories, a crucial component for calculating two-loop electroweak corrections to Higgs-boson masses or for any scalar beyond the Standard Model. We renormalise the amplitudes using mass-independent renormalisation schemes, based on both dimensional regularisation and dimensional reduction. The results are presented here in Feynman gauge, with expressions for all 121 self-energy and 25 tadpole diagrams given in terms of scalar and tensor integrals with the complete set of rules to reduce them to a minimal basis of scalar integrals for any physical kinematic configuration. In addition, we simplify the results to a set of only 16 tadpole and 58 self-energy topologies using relations in order to substitute the ghost and Goldstone-boson couplings that we derive. To facilitate their application, we also provide our results in electronic form as a new code TLDR. We test our results by applying them to the Standard Model and compare with analytic expressions in the literature. |
| first_indexed | 2024-12-21T02:49:13Z |
| format | Article |
| id | doaj.art-a645f024d82d4f888176d20b0a8c99ad |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T02:49:13Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-a645f024d82d4f888176d20b0a8c99ad2022-12-21T19:18:29ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-05-0180516410.1140/epjc/s10052-020-7657-8All two-loop scalar self-energies and tadpoles in general renormalisable field theoriesMark D. Goodsell0Sebastian Paßehr1Laboratoire de Physique Théorique et Hautes Energies (LPTHE), UMR 7589, Sorbonne Université et CNRSLaboratoire de Physique Théorique et Hautes Energies (LPTHE), UMR 7589, Sorbonne Université et CNRSAbstract We calculate the complete tadpoles and self-energies at the two-loop order for scalars in general renormalisable theories, a crucial component for calculating two-loop electroweak corrections to Higgs-boson masses or for any scalar beyond the Standard Model. We renormalise the amplitudes using mass-independent renormalisation schemes, based on both dimensional regularisation and dimensional reduction. The results are presented here in Feynman gauge, with expressions for all 121 self-energy and 25 tadpole diagrams given in terms of scalar and tensor integrals with the complete set of rules to reduce them to a minimal basis of scalar integrals for any physical kinematic configuration. In addition, we simplify the results to a set of only 16 tadpole and 58 self-energy topologies using relations in order to substitute the ghost and Goldstone-boson couplings that we derive. To facilitate their application, we also provide our results in electronic form as a new code TLDR. We test our results by applying them to the Standard Model and compare with analytic expressions in the literature.http://link.springer.com/article/10.1140/epjc/s10052-020-7657-8 |
| spellingShingle | Mark D. Goodsell Sebastian Paßehr All two-loop scalar self-energies and tadpoles in general renormalisable field theories European Physical Journal C: Particles and Fields |
| title | All two-loop scalar self-energies and tadpoles in general renormalisable field theories |
| title_full | All two-loop scalar self-energies and tadpoles in general renormalisable field theories |
| title_fullStr | All two-loop scalar self-energies and tadpoles in general renormalisable field theories |
| title_full_unstemmed | All two-loop scalar self-energies and tadpoles in general renormalisable field theories |
| title_short | All two-loop scalar self-energies and tadpoles in general renormalisable field theories |
| title_sort | all two loop scalar self energies and tadpoles in general renormalisable field theories |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-7657-8 |
| work_keys_str_mv | AT markdgoodsell alltwoloopscalarselfenergiesandtadpolesingeneralrenormalisablefieldtheories AT sebastianpaßehr alltwoloopscalarselfenergiesandtadpolesingeneralrenormalisablefieldtheories |