King, Daniel and Lenz, Alexander and Rauh, Thomas (2019) 'Bs mixing observables and |Vtd/Vts| from sum rules.', Journal of high energy physics., 2019 (5). 034.
Abstract
We consider the effects of a non-vanishing strange-quark mass in the determination of the full basis of dimension six matrix elements for Bs mixing, in particular we get for the ratio of the V − A Bag parameter in the Bs and Bd system: B s Q1 /B d Q1 = 0.987+0.007 −0.009. Combining these results with the most recent lattice values for the ratio of decay constants fBs /fBd we obtain the most precise determination of the ratio ξ = fBs q B s Q1 /fBd q B d Q1 = 1.2014+0.0065 −0.0072 in agreement with recent lattice determinations. We find ∆Ms = (18.5 +1.2 −1.5 )ps−1 and ∆Md = (0.547+0.035 −0.046)ps−1 to be consistent with experiments at below one sigma. Assuming the validity of the SM, our calculation can be used to directly determine the ratio of CKM elements |Vtd/Vts| = 0.2045+0.0012 −0.0013, which is compatible with the results from the CKM fitting groups, but again more precise.
| Item Type: | Article |
|---|---|
| Additional Information: | Addendum at https://doi.org/10.1007/JHEP03(2020)112 |
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (2067Kb) |
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (Addendum) (500Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1007/JHEP05(2019)034 |
| Publisher statement: | This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. |
| Date accepted: | 26 May 2019 |
| Date deposited: | 29 May 2019 |
| Date of first online publication: | 30 May 2019 |
| Date first made open access: | 15 April 2020 |
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