Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT
Abstract In a scalar theory which we use as a simplified model for the Higgs sector, we adopt the semiclassical formalism of Son for computations of n-particle production cross-sections in the high-multiplicity n → ∞ weak-coupling λ → 0 regime with the value of λn held fixed and large. The approach...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-06-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2017)148 |
| _version_ | 1819135037871751168 |
|---|---|
| author | Valentin V. Khoze |
| author_facet | Valentin V. Khoze |
| author_sort | Valentin V. Khoze |
| collection | DOAJ |
| description | Abstract In a scalar theory which we use as a simplified model for the Higgs sector, we adopt the semiclassical formalism of Son for computations of n-particle production cross-sections in the high-multiplicity n → ∞ weak-coupling λ → 0 regime with the value of λn held fixed and large. The approach relies on the use of singular classical solutions to a certain boundary value problem. In the past this formalism has been successfully used and verified in computations of perturbative multi-particle processes at tree-level, and also at the next-to-leading order level in the small λn expansion near the multi-particle mass threshold. We apply this singular solutions formalism in the regime of ultra-high multiplicities where λn ≫ 1, and compute the leading positive ∼ n λ n $$ \sqrt{\lambda n} $$ contribution to the exponent of the multi-particle rate in this large λn limit. The computation is carried out near the multi-particle mass threshold where the multiplicity n approaches its maximal value allowed by kinematics. This calculation relies on the idea of Gorsky and Voloshin to use a thin wall approximation for the singular solutions that resemble critical bubbles. This approximation is justified in precisely the high-multiplicity λ n → ∞ $$ \sqrt{\lambda n}\to\ \infty $$ regime of interest. Based on our results we show that the scalar theory with a spontaneous symmetry breaking used here as a simplified model for the Higgs sector, is very likely to realise the high-energy Higgsplosion phenomenon. |
| first_indexed | 2024-12-22T10:12:43Z |
| format | Article |
| id | doaj.art-52329c90f5344e4c83bc06cc24d0aaf8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T10:12:43Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-52329c90f5344e4c83bc06cc24d0aaf82022-12-21T18:29:49ZengSpringerOpenJournal of High Energy Physics1029-84792017-06-012017612210.1007/JHEP06(2017)148Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFTValentin V. Khoze0Institute for Particle Physics Phenomenology, Department of Physics, Durham UniversityAbstract In a scalar theory which we use as a simplified model for the Higgs sector, we adopt the semiclassical formalism of Son for computations of n-particle production cross-sections in the high-multiplicity n → ∞ weak-coupling λ → 0 regime with the value of λn held fixed and large. The approach relies on the use of singular classical solutions to a certain boundary value problem. In the past this formalism has been successfully used and verified in computations of perturbative multi-particle processes at tree-level, and also at the next-to-leading order level in the small λn expansion near the multi-particle mass threshold. We apply this singular solutions formalism in the regime of ultra-high multiplicities where λn ≫ 1, and compute the leading positive ∼ n λ n $$ \sqrt{\lambda n} $$ contribution to the exponent of the multi-particle rate in this large λn limit. The computation is carried out near the multi-particle mass threshold where the multiplicity n approaches its maximal value allowed by kinematics. This calculation relies on the idea of Gorsky and Voloshin to use a thin wall approximation for the singular solutions that resemble critical bubbles. This approximation is justified in precisely the high-multiplicity λ n → ∞ $$ \sqrt{\lambda n}\to\ \infty $$ regime of interest. Based on our results we show that the scalar theory with a spontaneous symmetry breaking used here as a simplified model for the Higgs sector, is very likely to realise the high-energy Higgsplosion phenomenon.http://link.springer.com/article/10.1007/JHEP06(2017)148Higgs PhysicsNonperturbative EffectsScattering Amplitudes |
| spellingShingle | Valentin V. Khoze Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT Journal of High Energy Physics Higgs Physics Nonperturbative Effects Scattering Amplitudes |
| title | Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT |
| title_full | Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT |
| title_fullStr | Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT |
| title_full_unstemmed | Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT |
| title_short | Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT |
| title_sort | multiparticle production in the large λn limit realising higgsplosion in a scalar qft |
| topic | Higgs Physics Nonperturbative Effects Scattering Amplitudes |
| url | http://link.springer.com/article/10.1007/JHEP06(2017)148 |
| work_keys_str_mv | AT valentinvkhoze multiparticleproductioninthelargelnlimitrealisinghiggsplosioninascalarqft |