More model-independent analysis of b→s processes

By G. Hiller, Frank Kr¨uger. 2003

482 citations recorded by the source corpus.

We study model-independently the implications of nonstandard scalar and pseudoscalar interactions for the decays $\stackrel{\ensuremath{\rightarrow}}{b}s\ensuremath{\gamma},$ $\stackrel{\ensuremath{\rightarrow}}{b}sg,$ $\stackrel{\ensuremath{\rightarrow}}{b}s{\mathcal{l}}^{+}{\mathcal{l}}^{\ensuremath{-}}$ $(\mathcal{l}=e,\ensuremath{\mu})$ and ${B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}.$ We find sizable renormalization effects from scalar and pseudoscalar four-quark operators in the radiative decays and at $O({\ensuremath{\alpha}}_{s})$ in hadronic b decays. Constraints on the Wilson coefficients of an extended operator basis are worked out. Further, the ratios ${R}_{H}=\mathcal{B}(\stackrel{\ensuremath{\rightarrow}}{B}H{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}})/\mathcal{B}(\stackrel{\ensuremath{\rightarrow}}{B}{\mathrm{He}}^{+}{e}^{\ensuremath{-}}),$ for ${H=K}^{(*)}{,X}_{s},$ and their correlations with the ${B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ decay are investigated. We show that the standard model prediction for these ratios defined with the same cut on the dilepton mass for electron and muon modes, ${R}_{H}{=1+O(m}_{\ensuremath{\mu}}^{2}{/m}_{b}^{2}),$ has a much smaller theoretical uncertainty $(\ensuremath{\lesssim}1%)$ than the one for the individual branching fractions. The present experimental limit ${R}_{K}l~1.2$ puts constraints on scalar and pseudoscalar couplings, which are similar to the ones from current data on $\mathcal{B}{(B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}).$ We find that new physics corrections to ${R}_{{K}^{*}}$ and ${R}_{{X}_{s}}$ can reach 13% and 10%, respectively.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ecc7c8b5f344dab38ca315a26f5b621a15eff311

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Flavour anomalies after the RK∗ measurement (2017, background): “3], [16, 19] 〈P ′ 5〉(B → K∗μμ) [1, 2], [2, 4.”
On the breaking of lepton flavor universality in B decays (2015, background): “The SM expectation of R K is |(R μ/e K )SM − 1| < 1% [8] while, by construction, R τ/` D∗ = R τ/` D = 1 within the SM.”
Lepton universality violation with lepton flavor conservation in B-meson decays (2015, background): “2) shows that the RK anomaly requires any suitable combination of the scenarios: δC 9 − δC e 9 ∈ [−1, 0], δC μ 10 − δC e 10 ∈ [0, 1], δCμ′ 9 − δC e′ 9 ∈ [−1, 0], δC μ′ 10 − δC e′ 10 ∈ [0, 1].”
Implications of LHCb measurements and future prospects - eScholarship (2013, background): “In the SM, the ratio R K is expected to be close to unity, R SM K = 1 +O(m(2)μ/m(2)B) [82].”