More benefits of semileptonic rare B decays at low recoil: CP violation

By C. Bobeth, G. Hiller, Danny van Dyk. 2011

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We present a systematic analysis of the angular distribution of $ \overline B \to {\overline K^*}\left( { \to \overline K \pi } \right){l^{+} }{l^{-} } $ decays with l = e, μ in the low recoil region (i.e. at high dileptonin variant masses of the order of the mass of the b-quark) to account model-independently for CP violation beyond the Standard Model, working to next-to-leading order QCD. From the employed heavy quark effective theory framework we identify the key CP observables with reduced hadronic uncertainties. Since some of the CP asymmetries are CP-odd they can be measured without B -flavour tagging. This is particularly beneficial for $ {\overline B_s},{B_s} \to \phi \left( { \to {K^{+} }{K^{-} }} \right){l^{+} }{l^{-} } $ decays, which are not self-tagging, and we work out the corresponding time-integrated CP asymmetries. Presently available experimental constraints allow the proposed CP asymmetries to be sizeable, up to values of the order ~ 0.2, while the corresponding Standard Model values receive a strong parametric suppression at the level of $ \mathcal{O}\left( {{{10}^{ - 4}}} \right) $. Furthermore, we work out the allowed ranges of the short-distance (Wilson) coefficients $ {\mathcal{C}_{9,10}} $ in the presence of CP violation beyond the Standard Model but no further Dirac structures. We find the $ {\overline B_s} \to {\mu^{+} }{\mu^{-} } $ branching ratio to be below 10 × 10−9 (at 95% CL). Possibilities to check the performance of the theoretical low recoil framework are pointed out.

Subfields: Electrical and Electronic Engineering, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/432459ad9cb29bbc20e731131b2b5dc152f4f799

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Citations in the corpus

Implications of LHCb measurements and future prospects - eScholarship (2013, background): “As a consequence of symmetry relations of the OPE [40, 65, 66, 74], at high q2, combinations of the angular observables Ji can be formed within the SM operator basis (i.”
Implications from clean observables for the binned analysis of B → K∗μ+μ− at large recoil (2012, background): “This has triggered extensive theoretical work studying the constraining power of radiative and semileptonic B decays on New Physics in the framework of the weak effective Hamil- tonian [6, 7, 8, 9, 10, 11, 12, 13, 14].”
Optimizing the basis of B → K*ℓ+ℓ− observables in the full kinematic range (2013, background): “The CP asymmetry P CP 2 is related (but not equal) to the low-recoil observable a (3) CP [33], which is the CP-violating partner of H (3) T .”
Model-independent constraints on new physics in b → s transitions (2011, background): “in [14, 15, 17] for the SM Wilson coefficients and in [12] for C7 vs.”