On B → Vℓℓ at small dilepton invariant mass, power corrections, and new physics

By S. Jager, J. Camalich. 2012

192 citations recorded by the source corpus.

A bstractWe investigate rare semileptonic $ \overline{B}\to {{\overline{K}}^{*}}{\ell^{+}}{\ell^{-}} $ decays, providing a comprehensive treatment of theoretical uncertainties in the low-q2 region as needed for interpreting current and future LHCb and B-factory data in terms of the new physics search. We go beyond the usual focus on form-factor uncertainties, paying proper attention to non-factorizable terms.A central point is the systematic exploitation of the V − A structure of SM weak interactions, which leads to the suppression of two helicity amplitudes and some of the angular coefficients. We review how this works at the level of (helicity) form factors, and show that the hierarchies extend to non-factorizable terms. For virtual charm effects, we give an argument for it in terms of light-cone QCD sum rules that continues to hold at the level of “long-distance” $ {{{\Lambda_{\mathrm{QCD}}^2}} \left/ {{m_c^2}} \right.} $ power corrections, reducing an important source of theoretical uncertainty in any $ \overline{B} $,$ {{\overline{B}}_s}\to V{\ell^{+}}{\ell^{-}} $ (or $ \overline{B}\to V\gamma $) decay. The contributions of the remaining hadronic weak Hamiltonian respect a similar hierarchy. We employ a resonance model to preclude (in the $ \overline{B}\to {{\overline{K}}^{*}} $ case) large long-distance corrections to this.A phenomenological part pays particular attention to the region of lowest dilepton mass, $ 4m_{\ell}^2\leq {q^2}\leq 2 $ GeV2. Two observables remain theoretically clean, implying a (theoretical) sensitivity to the real (imaginary) part of the “right-handed” Wilson coefficient $ C_7^{\prime } $ to 10% (1%) of $ C_7^{\mathrm{SM}} $, both in the muonic and the electronic mode. We also show that there are two near-exact relations between angular coefficients, even in the presence of new physics and when lepton masses are not neglected.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/67c092a113eb36a47bb4b94934fe4fdcb01ff71f

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In Nuclear and High Energy Physics

Citations in the corpus

Patterns of New Physics in b → sℓ+ℓ− transitions in the light of recent data (2017, background): “Controversies on hadronic uncertainties (power corrections to form factors [18, 19], charm-loop contributions [20, 21]) have been addressed and resolved in Refs.”