Helical inflation correlators: partial Mellin-Barnes and bootstrap equations
Abstract Massive spinning particles acquire helicity-dependent chemical potentials during the inflation from axion-type couplings. Such spinning fields can mediate sizable inflaton correlators which we call the helical inflation correlators. Helical inflaton correlators are approximately scale invar...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)059 |
| _version_ | 1797769730268856320 |
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| author | Zhehan Qin Zhong-Zhi Xianyu |
| author_facet | Zhehan Qin Zhong-Zhi Xianyu |
| author_sort | Zhehan Qin |
| collection | DOAJ |
| description | Abstract Massive spinning particles acquire helicity-dependent chemical potentials during the inflation from axion-type couplings. Such spinning fields can mediate sizable inflaton correlators which we call the helical inflation correlators. Helical inflaton correlators are approximately scale invariant, dS boost breaking, parity violating, and are promising observables of cosmological collider physics. In this work, we present complete and analytical results for 4-point helical inflation correlators with tree-level exchanges of massive spinning particles, including both the smooth background and the oscillatory signals. We compute the bulk Schwinger-Keldysh integrals in two independent ways, including the partial Mellin-Barnes representation and solving bootstrap equations. We also present new closed-form analytical results for 3-point functions with massive scalar or helical spinning exchanges. The analytical results allow us to concretely and efficiently explore the phenomenological consequences of helicity-dependent chemical potentials. In particular, we show that the chemical potential can exponentially enhance oscillatory signals of both local and nonlocal types, but only affects the background in a rather mild way. Our results extend the de Sitter bootstrap program to include nonperturbative breaking of de Sitter boosts. Our results also explicitly verify the recently proposed cutting rule for cosmological collider signals. |
| first_indexed | 2024-03-12T21:13:13Z |
| format | Article |
| id | doaj.art-b099f9adf52748d6a9b7bba267809229 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:13:13Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b099f9adf52748d6a9b7bba2678092292023-07-30T11:04:05ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023417710.1007/JHEP04(2023)059Helical inflation correlators: partial Mellin-Barnes and bootstrap equationsZhehan Qin0Zhong-Zhi Xianyu1Department of Physics, Tsinghua UniversityDepartment of Physics, Tsinghua UniversityAbstract Massive spinning particles acquire helicity-dependent chemical potentials during the inflation from axion-type couplings. Such spinning fields can mediate sizable inflaton correlators which we call the helical inflation correlators. Helical inflaton correlators are approximately scale invariant, dS boost breaking, parity violating, and are promising observables of cosmological collider physics. In this work, we present complete and analytical results for 4-point helical inflation correlators with tree-level exchanges of massive spinning particles, including both the smooth background and the oscillatory signals. We compute the bulk Schwinger-Keldysh integrals in two independent ways, including the partial Mellin-Barnes representation and solving bootstrap equations. We also present new closed-form analytical results for 3-point functions with massive scalar or helical spinning exchanges. The analytical results allow us to concretely and efficiently explore the phenomenological consequences of helicity-dependent chemical potentials. In particular, we show that the chemical potential can exponentially enhance oscillatory signals of both local and nonlocal types, but only affects the background in a rather mild way. Our results extend the de Sitter bootstrap program to include nonperturbative breaking of de Sitter boosts. Our results also explicitly verify the recently proposed cutting rule for cosmological collider signals.https://doi.org/10.1007/JHEP04(2023)059Cosmology of Theories BSMEarly Universe Particle PhysicsScattering Amplitudes |
| spellingShingle | Zhehan Qin Zhong-Zhi Xianyu Helical inflation correlators: partial Mellin-Barnes and bootstrap equations Journal of High Energy Physics Cosmology of Theories BSM Early Universe Particle Physics Scattering Amplitudes |
| title | Helical inflation correlators: partial Mellin-Barnes and bootstrap equations |
| title_full | Helical inflation correlators: partial Mellin-Barnes and bootstrap equations |
| title_fullStr | Helical inflation correlators: partial Mellin-Barnes and bootstrap equations |
| title_full_unstemmed | Helical inflation correlators: partial Mellin-Barnes and bootstrap equations |
| title_short | Helical inflation correlators: partial Mellin-Barnes and bootstrap equations |
| title_sort | helical inflation correlators partial mellin barnes and bootstrap equations |
| topic | Cosmology of Theories BSM Early Universe Particle Physics Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP04(2023)059 |
| work_keys_str_mv | AT zhehanqin helicalinflationcorrelatorspartialmellinbarnesandbootstrapequations AT zhongzhixianyu helicalinflationcorrelatorspartialmellinbarnesandbootstrapequations |