Searching for New Physics with \(\bar {\mathcal {B}}(B_{s,d}\to \mu \bar \mu )/\Delta M_{s,d}\)

Christoph Bobeth (TUM Institute for Advanced Study, Lichtenbergstr. 2a, 85747 Garching, Germany) ; Andrzej J. Buras (TUM Institute for Advanced Study, Lichtenbergstr. 2a, 85747 Garching, Germany)

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 \(|V_{td}|\).

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      "title": "Searching for New Physics with \\(\\bar {\\mathcal {B}}(B_{s,d}\\to \\mu \\bar \\mu )/\\Delta M_{s,d}\\)"
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      "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}|\\)."
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Published on:
01 October 2021
Publisher:
Jagiellonian University
Published in:
Acta Physica Polonica B , Volume 52 (2021)
Issue 10
Pages 1189-1207
DOI:
https://doi.org/10.5506/APhysPolB.52.1189
arXiv:
2104.09521
Copyrights:
The Authors
Licence:
CC-BY-4.0

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