Bs mixing observables and |Vtd/Vts| from sum rules

King, Daniel; Lenz, Alexander; Rauh, Thomas

doi:10.1007/jhep05(2019)034

Bs mixing observables and |Vtd/Vts| from sum rules

King, Daniel; Lenz, Alexander; Rauh, Thomas

Authors

Daniel King

Alexander Lenz

Thomas Rauh

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.

Citation

King, D., Lenz, A., & Rauh, T. (2019). Bs mixing observables and |Vtd/Vts| from sum rules. Journal of High Energy Physics, 2019(5), Article 34. https://doi.org/10.1007/jhep05%282019%29034

Journal Article Type	Article
Acceptance Date	May 26, 2019
Online Publication Date	May 30, 2019
Publication Date	May 31, 2019
Deposit Date	May 29, 2019
Publicly Available Date	May 29, 2019
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2019
Issue	5
Article Number	34
DOI	https://doi.org/10.1007/jhep05%282019%29034

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