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    Gauge-invariant implications of the LHCb measurements on lepton-flavor nonuniversality

    Alejandro Celis1, Javier Fuentes-Martín2, Avelino Vicente2, and Javier Virto3

    • 1Ludwig-Maximilians-Universität München, Fakultät für Physik, Arnold Sommerfeld Center for Theoretical Physics, 80333 München, Germany
    • 2Instituto de Física Corpuscular, Universitat de València—CSIC, E-46071 València, Spain
    • 3Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, CH-3012 Bern, Switzerland

    Phys. Rev. D 96, 035026 – Published 25 August, 2017

    DOI: https://doi.org/10.1103/PhysRevD.96.035026

    Abstract

    We study the implications of the recent measurements of RK and RK* by the LHCb Collaboration. We do that by adopting a model-independent approach based on the Standard Model effective field theory (SMEFT), with the dominant new physics (NP) effects encoded in the coefficients of dimension-6 operators respecting the full Standard Model (SM) gauge symmetry. After providing simplified expressions for RK and RK*, we determine the implications of the recent LHCb results for these observables on the coefficients of the SMEFT operators at low and high energies. We also take into account all bs data, which combined lead to effective NP scenarios with SM pulls in excess of 5σ. Thus, the operators discussed in this paper would be the first dimension-6 terms in the SM Lagrangian to be detected experimentally. Indirect constraints on these operators are also discussed. The results of this paper transcend the singularity of the present situation and set a standard for future analyses in bs transitions when the NP is assumed to lie above the electroweak scale.

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