We investigate the phase shifts of low-energy α-α scattering under variations of the fundamental parameters of the Standard Model, namely the light quark mass, the electromagnetic fine-structure constant as well as the QCD θ-angle. As a first step, we recalculate α-α scattering in our Universe utilizing various improvements in the adiabatic projection method, which leads to an improved, parameter-free prediction of the S- and D-wave phase shifts for laboratory energies below 10 MeV. We find that positive shifts in the pion mass have a small effect on the S-wave phase shift, whereas lowering the pion mass adds some repulsion in the two-alpha system. The effect on the D-wave phase shift turns out to be more pronounced as signaled by the D-wave resonance parameters. Variations of the fine-structure constant have almost no effect on the low-energy α-α phase shifts. We further show that up-to-and-including next-to-leading order in the chiral expansion, variations of these phase shifts with respect to the QCD θ-angle can be expressed in terms of the θ-dependent pion mass.
{ "_oai": { "updated": "2022-05-27T00:35:01Z", "id": "oai:repo.scoap3.org:68021", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Turkey", "value": "Faculty of Natural Sciences and Engineering, Gaziantep Islam Science and Technology University, Gaziantep, 27010, Turkey", "organization": "Gaziantep Islam Science and Technology University" } ], "surname": "Elhatisari", "email": "selhatisari@gmail.com", "full_name": "Elhatisari, Serdar", "given_names": "Serdar" }, { "affiliations": [ { "country": "Germany", "value": "Institute for Advanced Simulation, Institut f\u00fcr Kernphysik, Center for Advanced Simulation and Analytics, and J\u00fclich Center for Hadron Physics, Forschungszentrum J\u00fclich, J\u00fclich, D-52425, Germany", "organization": "Center for Advanced Simulation and Analytics, and J\u00fclich Center for Hadron Physics" } ], "surname": "L\u00e4hde", "email": "t.laehde@fz-juelich.de", "full_name": "L\u00e4hde, Timo", "given_names": "Timo" }, { "affiliations": [ { "country": "USA", "value": "Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI, 48824, USA", "organization": "Michigan State University" } ], "surname": "Lee", "email": "leed@frib.msu.edu", "full_name": "Lee, Dean", "given_names": "Dean" }, { "affiliations": [ { "country": "Germany", "value": "Institute for Advanced Simulation, Institut f\u00fcr Kernphysik, Center for Advanced Simulation and Analytics, and J\u00fclich Center for Hadron Physics, Forschungszentrum J\u00fclich, J\u00fclich, D-52425, Germany", "organization": "Center for Advanced Simulation and Analytics, and J\u00fclich Center for Hadron Physics" }, { "country": "Germany", "value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, D-53115, Germany", "organization": "Universit\u00e4t Bonn" }, { "country": "Georgia", "value": "Tbilisi State University, Tbilisi, 0186, Georgia", "organization": "Tbilisi State University" } ], "surname": "Mei\u00dfner", "email": "meissner@hiskp.uni-bonn.de", "full_name": "Mei\u00dfner, Ulf-G.", "given_names": "Ulf-G." }, { "affiliations": [ { "country": "Germany", "value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, D-53115, Germany", "organization": "Universit\u00e4t Bonn" } ], "surname": "Vonk", "email": "vonk@hiskp.uni-bonn.de", "full_name": "Vonk, Thomas", "given_names": "Thomas" } ], "titles": [ { "source": "Springer", "title": "Alpha-alpha scattering in the Multiverse" } ], "dois": [ { "value": "10.1007/JHEP02(2022)001" } ], "publication_info": [ { "page_end": "30", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2022", "artid": "JHEP02(2022)001", "year": 2022, "page_start": "1", "journal_issue": "2" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-05-27T00:31:37.286818", "source": "Springer", "method": "Springer", "submission_number": "24804aa0dd5411eca1a1661ec451a4e4" }, "page_nr": [ 30 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2022" } ], "control_number": "68021", "record_creation_date": "2022-02-07T11:55:52.950219", "_files": [ { "checksum": "md5:0ec707d05ad5fadf1f198a71d9c17c77", "filetype": "xml", "bucket": "65d0f41f-9657-4dba-8be1-912750b9d55a", "version_id": "1d4c87ce-b7fb-415d-b5b7-ffd0b2de5ba8", "key": "10.1007/JHEP02(2022)001.xml", "size": 15651 }, { "checksum": "md5:687929a67fb89b106173cdd3125f0fc2", "filetype": "pdf/a", "bucket": "65d0f41f-9657-4dba-8be1-912750b9d55a", "version_id": "bf066cff-88aa-491c-a6a2-3d760f81158f", "key": "10.1007/JHEP02(2022)001_a.pdf", "size": 828966 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "astro-ph.CO", "hep-lat", "hep-ph", "nucl-th" ], "value": "2112.09409" } ], "abstracts": [ { "source": "Springer", "value": "We investigate the phase shifts of low-energy \u03b1-\u03b1 scattering under variations of the fundamental parameters of the Standard Model, namely the light quark mass, the electromagnetic fine-structure constant as well as the QCD \u03b8-angle. As a first step, we recalculate \u03b1-\u03b1 scattering in our Universe utilizing various improvements in the adiabatic projection method, which leads to an improved, parameter-free prediction of the S- and D-wave phase shifts for laboratory energies below 10 MeV. We find that positive shifts in the pion mass have a small effect on the S-wave phase shift, whereas lowering the pion mass adds some repulsion in the two-alpha system. The effect on the D-wave phase shift turns out to be more pronounced as signaled by the D-wave resonance parameters. Variations of the fine-structure constant have almost no effect on the low-energy \u03b1-\u03b1 phase shifts. We further show that up-to-and-including next-to-leading order in the chiral expansion, variations of these phase shifts with respect to the QCD \u03b8-angle can be expressed in terms of the \u03b8-dependent pion mass." } ], "imprints": [ { "date": "2022-02-01", "publisher": "Springer" } ] }