Effective theory calculation of resonant high-energy scattering
Tests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to intermediate singular propagators. Various pragmatic approaches...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2004
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| _version_ | 1797090934486204416 |
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| author | Beneke, M Chapovsky, A Signer, A Zanderighi, G |
| author_facet | Beneke, M Chapovsky, A Signer, A Zanderighi, G |
| author_sort | Beneke, M |
| collection | OXFORD |
| description | Tests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to intermediate singular propagators. Various pragmatic approaches have been developed to deal with this difficulty. In this paper we construct an effective field theory for resonant processes utilizing the hierarchy of scales between the mass of the unstable particle, M, and its width, Gamma. The effective theory allows calculations to be systematically arranged into a series in g^2 and Gamma/M, and preserves gauge invariance in every step. We demonstrate the applicability of this method by calculating explicitly the inclusive line shape of a scalar resonance in an abelian gauge-Yukawa model at next-to-leading order in Gamma/M and the weak couplings. We also discuss the extension to next-to-next-to-leading order and compute an interesting subset of these corrections. |
| first_indexed | 2024-03-07T03:25:47Z |
| format | Journal article |
| id | oxford-uuid:b8fc9cfe-cc06-4a8b-8406-cc2c0b5fb452 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:25:47Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:b8fc9cfe-cc06-4a8b-8406-cc2c0b5fb4522022-03-27T04:59:47ZEffective theory calculation of resonant high-energy scatteringJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b8fc9cfe-cc06-4a8b-8406-cc2c0b5fb452EnglishSymplectic Elements at Oxford2004Beneke, MChapovsky, ASigner, AZanderighi, GTests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to intermediate singular propagators. Various pragmatic approaches have been developed to deal with this difficulty. In this paper we construct an effective field theory for resonant processes utilizing the hierarchy of scales between the mass of the unstable particle, M, and its width, Gamma. The effective theory allows calculations to be systematically arranged into a series in g^2 and Gamma/M, and preserves gauge invariance in every step. We demonstrate the applicability of this method by calculating explicitly the inclusive line shape of a scalar resonance in an abelian gauge-Yukawa model at next-to-leading order in Gamma/M and the weak couplings. We also discuss the extension to next-to-next-to-leading order and compute an interesting subset of these corrections. |
| spellingShingle | Beneke, M Chapovsky, A Signer, A Zanderighi, G Effective theory calculation of resonant high-energy scattering |
| title | Effective theory calculation of resonant high-energy scattering |
| title_full | Effective theory calculation of resonant high-energy scattering |
| title_fullStr | Effective theory calculation of resonant high-energy scattering |
| title_full_unstemmed | Effective theory calculation of resonant high-energy scattering |
| title_short | Effective theory calculation of resonant high-energy scattering |
| title_sort | effective theory calculation of resonant high energy scattering |
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