Relations between ΔMs,d and Bs,d→μμ̄ in models with minimal flavour violation

By Andrzej Buras. 2003

199 citations recorded by the source corpus.

Abstract The predictions for the B s , d – B s,d mixing mass differences Δ M s , d and the branching ratios Br (B s,d →μ μ ) within the Standard Model (SM) and its extensions suffer from considerable hadronic uncertainties present in the B s , d -meson decay constants F B s , d that enter these quantities quadratically. We point out that in the restricted class of models with minimal flavour violation (MFV) in which only the SM low energy operators are relevant, the ratios Br (B q →μ μ )/ Δ M q ( q = s , d ) do not depend on F B q and the CKM matrix elements. They involve in addition to the short distance functions and B -meson lifetimes only the non-perturbative parameters B s,d . The latter are under much better control than F B s , d . Consequently in these models the predictions for Br (B q →μ μ ) have only small hadronic uncertainties once Δ M q are experimentally known. Of particular interest is also the relation Br (B s →μ μ ) Br (B d →μ μ ) = B d B s τ(B s ) τ(B d ) Δ M s Δ M d that is practically free of theoretical uncertainties as B s / B d =1 up to small SU (3) breaking corrections. Using these ideas within the SM we find much more accurate predictions than those found in the literature: Br (B s →μ μ )=(3.4±0.5)×10 −9 and Br (B d →μ μ )=(1.00±0.14)×10 −10 were in the first case we assumed as an example Δ M s =(18.0±0.5)/ps.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/95d9e48dd9dddcd719fad35d18e26b27f668b02a

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In Nuclear and High Energy Physics

Citations in the corpus

Study of the rare decays of Bs0 and B0 mesons into muon pairs using data collected during 2015 and 2016 with the ATLAS detector (2018, background): “J H E P 0 4 ( 2 0 1 9 ) 0 9 8 Standard Model [2–6] and in extensions such as Minimal Flavour Violation [7, 8], Two- Higgs-Doublet Models [6], and others [9, 10].”
Flavor Physics in the Quark Sector (2009, unknown): “31) × 10−9 [725] while the current 95% CL upper bound from CDF reads B(Bs → μ+μ−)exp < 5.”
Anatomy and phenomenology of FCNC and CPV effects in SUSY theories (2009, unknown): “Moreover, we also observe that departures from the MFV SUSY expectations for BR(Bd → μμ)/BR(Bs → μ+μ−) and BR(Bs → μμ)/∆Ms/(∆Ms)SM(in both directions with respect to the SM predictions) are also expected in the AKM model, even if the ratio BR(Bd → μμ)/BR(Bs → μ+μ−) stays much closer to the MFV value”
Opportunities in Flavour Physics at the HL-LHC and HE-LHC (2018, background): “In particular, it is related to the ratio ms/ md [833] with small uncertainties from hadronic inputs and none from CKM ones.”
Model-independent constraints on new physics in b → s transitions (2011, unknown): “This result is as precise as the value that is obtained by assuming ∆Ms free of NP and using its measurement to reduce the theory uncertainty in Bs → μ+μ− arising from the Bs meson decay constant [23].”