We reemphasize that the ratio \(R_{s\mu } \equiv \bar {\mathcal {B}} (B_s\to \mu \bar \mu )/\Delta M_s\) is a measure of the tension of the Standard Model (SM) with the latest measurements of \(\bar {\mathcal {B}}(B_s\to \mu \bar \mu )\) that does not suffer from the persistent puzzle on the \(|V_{cb}|\) determinations from inclusive versus exclusive \(b\to c\ell \bar \nu \) decays and which affects the value of the CKM element \(|V_{ts}|\) that is crucial for the SM predictions of both \(\bar {\mathcal {B}}(B_s\to \mu \bar \mu )\) and \(\Delta M_s\), but cancels out in the ratio \(R_{s\mu }\). In our analysis, we include higher-order electroweak and QED corrections and adapt the latest hadronic input to find a tension of about \(2\sigma \) for \(R_{s\mu }\) measurements with the SM independently of \(|V_{ts}|\). We also discuss the ratio \(R_{d\mu }\) which could turn out, in particular in correlation with \(R_{s\mu }\), to be useful for the search for new physics, when data on both ratios improve. \(R_{d\mu }\) is also independent of \(|V_{cb}|\) or more precisely \(|V_{td}|\).
{ "license": [ { "url": "http://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "The Authors" } ], "control_number": "64863", "_oai": { "updated": "2021-09-24T08:33:35Z", "id": "oai:repo.scoap3.org:64863", "sets": [ "APPB" ] }, "dois": [ { "value": "10.5506/APhysPolB.52.1189" } ], "_files": [ { "checksum": "md5:e3174d945d252a24285d7d2ce471001c", "filetype": "pdf", "bucket": "085731ea-e63f-42cd-9c8d-f308ac6ca8a2", "version_id": "5211c9f1-d60a-4b5b-8d92-df91a6c66544", "key": "10.5506/APhysPolB.52.1189.pdf", "size": 580881 }, { "checksum": "md5:7e6e8760182dbfa27f0149f58c42fc59", "filetype": "pdfa", "bucket": "085731ea-e63f-42cd-9c8d-f308ac6ca8a2", "version_id": "fa160b24-3f13-4d5b-bbeb-0adae8d959f2", "key": "10.5506/APhysPolB.52.1189.pdfa", "size": 1351459 } ], "record_creation_date": "2021-09-24T08:33:25.567247", "authors": [ { "affiliations": [ { "country": "Germany", "value": "TUM Institute for Advanced Study, Lichtenbergstr. 2a, 85747 Garching, Germany" } ], "full_name": "Bobeth, Christoph" }, { "affiliations": [ { "country": "Germany", "value": "TUM Institute for Advanced Study, Lichtenbergstr. 2a, 85747 Garching, Germany" } ], "full_name": "Buras, Andrzej J." } ], "titles": [ { "title": "Searching for New Physics with \\(\\bar {\\mathcal {B}}(B_{s,d}\\to \\mu \\bar \\mu )/\\Delta M_{s,d}\\)" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-ex", "hep-lat" ], "value": "2104.09521" } ], "publication_info": [ { "page_end": "1207", "journal_title": "Acta Physica Polonica B", "material": "article", "journal_volume": "52", "year": 2021, "page_start": "1189", "journal_issue": "10" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "value": "We reemphasize that the ratio \\(R_{s\\mu } \\equiv \\bar {\\mathcal {B}} (B_s\\to \\mu \\bar \\mu )/\\Delta M_s\\) is a measure of the tension of the Standard Model (SM) with the latest measurements of \\(\\bar {\\mathcal {B}}(B_s\\to \\mu \\bar \\mu )\\) that does not suffer from the persistent puzzle on the \\(|V_{cb}|\\) determinations from inclusive <span class=\"it\">versus</span> exclusive \\(b\\to c\\ell \\bar \\nu \\) decays and which affects the value of the CKM element \\(|V_{ts}|\\) that is crucial for the SM predictions of both \\(\\bar {\\mathcal {B}}(B_s\\to \\mu \\bar \\mu )\\) and \\(\\Delta M_s\\), but cancels out in the ratio \\(R_{s\\mu }\\). In our analysis, we include higher-order electroweak and QED corrections and adapt the latest hadronic input to find a tension of about \\(2\\sigma \\) for \\(R_{s\\mu }\\) measurements with the SM independently of \\(|V_{ts}|\\). We also discuss the ratio \\(R_{d\\mu }\\) which could turn out, in particular in correlation with \\(R_{s\\mu }\\), to be useful for the search for new physics, when data on both ratios improve. \\(R_{d\\mu }\\) is also independent of \\(|V_{cb}|\\) or more precisely\u00a0\\(|V_{td}|\\)." } ], "imprints": [ { "date": "2021-10-01", "publisher": "Jagiellonian University" } ], "acquisition_source": { "date": "2021-09-24T08:33:25.567270", "source": "Jagiellonian University", "method": "scoap3_push" } }