The K → μ + μ − decay is often considered to be uninformative of fundamental theory parameters since the decay is polluted by long-distance hadronic effects. We demonstrate that, using very mild assumptions and utilizing time-dependent interference effects, ℬ(K S → μ + μ − ) ℓ=0 can be experimentally determined without the need to separate the ℓ = 0 and ℓ = 1 final states. This quantity is very clean theoretically and can be used to test the Standard Model. In particular, it can be used to extract the CKM matrix element combination $$ \mid {V}_{ts}{V}_{td}\sin \left(\beta +{\beta}_s\right)\mid \approx \mid {A}^2{\lambda}^5\overline{\eta}\mid $$ with hadronic uncertainties below 1%.
{ "_oai": { "updated": "2021-10-24T00:48:15Z", "id": "oai:repo.scoap3.org:63500", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Department of Physics, LEPP, Cornell University, Ithaca, NY, 14853, USA", "organization": "Cornell University" } ], "surname": "Dery", "email": "avital.dery@cornell.edu", "full_name": "Dery, Avital", "given_names": "Avital" }, { "affiliations": [ { "country": "USA", "value": "Department of Physics, LEPP, Cornell University, Ithaca, NY, 14853, USA", "organization": "Cornell University" } ], "surname": "Ghosh", "email": "mg2338@cornell.edu", "full_name": "Ghosh, Mitrajyoti", "given_names": "Mitrajyoti" }, { "affiliations": [ { "country": "USA", "value": "Department of Physics, LEPP, Cornell University, Ithaca, NY, 14853, USA", "organization": "Cornell University" } ], "surname": "Grossman", "email": "yg73@cornell.edu", "full_name": "Grossman, Yuval", "given_names": "Yuval" }, { "affiliations": [ { "country": "UK", "value": "Department of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, U.K.", "organization": "University of Manchester" } ], "surname": "Schacht", "email": "stefan.schacht@manchester.ac.uk", "full_name": "Schacht, Stefan", "given_names": "Stefan" } ], "titles": [ { "source": "Springer", "title": "K \u2192 \u03bc + \u03bc \u2212 as a clean probe of short-distance physics" } ], "dois": [ { "value": "10.1007/JHEP07(2021)103" } ], "publication_info": [ { "page_end": "26", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2021", "artid": "JHEP07(2021)103", "year": 2021, "page_start": "1", "journal_issue": "7" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-10-24T00:34:11.870484", "source": "Springer", "method": "Springer", "submission_number": "85bc469e346111ecaa1b7aa32592193b" }, "page_nr": [ 26 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "63500", "record_creation_date": "2021-07-19T03:30:14.822436", "_files": [ { "checksum": "md5:2a3ca24090bd9e11454efbeffc8188f0", "filetype": "xml", "bucket": "06c34d63-bd57-4065-aa01-bd25827476a1", "version_id": "6a5283ee-9118-4e98-8768-e3ab6da1666d", "key": "10.1007/JHEP07(2021)103.xml", "size": 14781 }, { "checksum": "md5:8e395de92a8d2768a319a6f6fe4bfbdc", "filetype": "pdf/a", "bucket": "06c34d63-bd57-4065-aa01-bd25827476a1", "version_id": "5b13198e-c077-43c9-bd53-687a4e916ee6", "key": "10.1007/JHEP07(2021)103_a.pdf", "size": 570432 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-ex" ], "value": "2104.06427" } ], "abstracts": [ { "source": "Springer", "value": "The K \u2192 \u03bc + \u03bc \u2212 decay is often considered to be uninformative of fundamental theory parameters since the decay is polluted by long-distance hadronic effects. We demonstrate that, using very mild assumptions and utilizing time-dependent interference effects, \u212c(K S \u2192 \u03bc + \u03bc \u2212 ) \u2113=0 can be experimentally determined without the need to separate the \u2113 = 0 and \u2113 = 1 final states. This quantity is very clean theoretically and can be used to test the Standard Model. In particular, it can be used to extract the CKM matrix element combination <math> <mo>\u2223</mo> <msub> <mi>V</mi> <mi>ts</mi> </msub> <msub> <mi>V</mi> <mi>td</mi> </msub> <mo>sin</mo> <mfenced> <mrow> <mi>\u03b2</mi> <mo>+</mo> <msub> <mi>\u03b2</mi> <mi>s</mi> </msub> </mrow> </mfenced> <mo>\u2223</mo> <mo>\u2248</mo> <mo>\u2223</mo> <msup> <mi>A</mi> <mn>2</mn> </msup> <msup> <mi>\u03bb</mi> <mn>5</mn> </msup> <mover> <mi>\u03b7</mi> <mo>\u00af</mo> </mover> <mo>\u2223</mo> </math> $$ \\mid {V}_{ts}{V}_{td}\\sin \\left(\\beta +{\\beta}_s\\right)\\mid \\approx \\mid {A}^2{\\lambda}^5\\overline{\\eta}\\mid $$ with hadronic uncertainties below 1%." } ], "imprints": [ { "date": "2021-07-15", "publisher": "Springer" } ] }