This paper concludes the presentation of the non-relativistic effective field theory formalism designed to calculate the radiative corrections that enhance the pair-annihilation cross sections of slowly moving neutralinos and charginos within the general minimal supersymmetric standard model (MSSM). While papers I and II focused on the computation of the tree-level annihilation rates that feed into the short-distance part, here we describe in detail the method to obtain the Sommerfeld factors that contain the enhanced long-distance corrections. This includes the computation of the potential interactions in the MSSM, which are provided in compact analytic form, and a novel solution of the multi-state Schrödinger equation that is free from the numerical instabilities generated by large mass splittings between the scattering states. Our results allow for a precise computation of the MSSM neutralino dark matter relic abundance and pair-annihilation rates in the present Universe, when Sommerfeld enhancements are important.
{ "_oai": { "updated": "2018-04-30T16:35:57Z", "id": "oai:repo.scoap3.org:10423" }, "authors": [ { "raw_name": "Beneke, M.", "affiliations": [ { "country": "Germany", "value": "Physik Department T31, Technische Universit\u00e4t M\u00fcnchen, James-Franck-Stra\u00dfe, D-85748, Garching, Germany" }, { "country": "Germany", "value": "Institut f\u00fcr Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, D-52056, Aachen, Germany" } ], "surname": "Beneke", "given_names": "M.", "full_name": "Beneke, M." }, { "raw_name": "Hellmann, C.", "affiliations": [ { "country": "Germany", "value": "Physik Department T31, Technische Universit\u00e4t M\u00fcnchen, James-Franck-Stra\u00dfe, D-85748, Garching, Germany" }, { "country": "Germany", "value": "Institut f\u00fcr Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, D-52056, Aachen, Germany" } ], "surname": "Hellmann", "given_names": "C.", "full_name": "Hellmann, C." }, { "raw_name": "Ruiz-Femen\u00eda, P.", "affiliations": [ { "country": "Spain", "value": "Instituto de F\u00edsica Corpuscular (IFIC), CSIC-Universitat de Val\u00e8ncia, Apdo. Correos 22085, E-46071, Valencia, Spain" } ], "surname": "Ruiz-Femen\u00eda", "given_names": "P.", "full_name": "Ruiz-Femen\u00eda, P." } ], "titles": [ { "source": "Springer/SISSA", "title": "Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos III. Computation of the Sommerfeld enhancements" } ], "dois": [ { "value": "10.1007/JHEP05(2015)115" } ], "publication_info": [ { "page_start": "115", "material": "article", "journal_title": "Journal of High Energy Physics", "year": 2015 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2015-05-22T00:00:00", "source": "Springer/SISSA", "method": "scoap3", "submission_number": "2716e8224c7c11e8b67702163e01809a" }, "page_nr": [ 57 ], "license": [ { "url": "http://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "The Author(s)" } ], "control_number": "10423", "record_creation_date": "2015-05-22T00:00:00", "_files": [ { "checksum": "md5:96775750acf8cc38b1ca3987600d1a38", "filetype": "xml", "bucket": "8b381c15-5464-4470-9414-b1af2a29ce74", "version_id": "dd42321d-69fa-4551-959e-aa32af4e6874", "key": "10.1007/JHEP05(2015)115.xml", "size": 210875 }, { "checksum": "md5:9c789b4a8cc258c33c3e9076a5f3f97c", "filetype": "pdf/a", "bucket": "8b381c15-5464-4470-9414-b1af2a29ce74", "version_id": "33d4a80a-feb3-4235-a3f9-3a3a4373c34f", "key": "10.1007/JHEP05(2015)115_a.pdf", "size": 1121297 } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "astro-ph.CO" ], "value": "1411.6924" } ], "abstracts": [ { "source": "Springer/SISSA", "value": "This paper concludes the presentation of the non-relativistic effective field theory formalism designed to calculate the radiative corrections that enhance the pair-annihilation cross sections of slowly moving neutralinos and charginos within the general minimal supersymmetric standard model (MSSM). While papers I and II focused on the computation of the tree-level annihilation rates that feed into the short-distance part, here we describe in detail the method to obtain the Sommerfeld factors that contain the enhanced long-distance corrections. This includes the computation of the potential interactions in the MSSM, which are provided in compact analytic form, and a novel solution of the multi-state Schr\u00f6dinger equation that is free from the numerical instabilities generated by large mass splittings between the scattering states. Our results allow for a precise computation of the MSSM neutralino dark matter relic abundance and pair-annihilation rates in the present Universe, when Sommerfeld enhancements are important." } ], "imprints": [ { "date": "2015-05-22", "publisher": "Springer/SISSA" } ] }