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  • Open Access

Explaining the B→Kμ+μ− anomaly in the left-right inverse seesaw model

David Delepine1,* and Shaaban Khalil2,†

  • *Contact author: delepine@ugto.mx
  • †Contact author: skhalil@zewailcity.edu.eg

Phys. Rev. D 114, 055023 – Published 14 September, 2026

DOI: https://doi.org/10.1103/jz4m-rdtb

Abstract

We investigate the long-standing anomaly in the rare decay B→Kμ+μ− within the left-right inverse seesaw (LRIS) model. Global analyses of the b→sμ+μ− data consistently indicate a significant negative shift in the vector Wilson coefficient, ΔC9μ≈−1, while the axial coefficient ΔC10μ remains consistent with zero. We show that a charged-scalar/heavy-neutrino box diagram in the LRIS model naturally generates these values for the Wilson coefficients through a nondecoupling mechanism: the right-handed coupling YμNR∝MNi/vR produces a contribution to ΔC9μ that is unsuppressed in the heavy-neutrino limit, while the simultaneous presence of a comparable left-handed Dirac Yukawa coupling YμNL ensures the automatic cancellation ΔC10μ≈0. The potentially dangerous contribution to Bs−B¯s mixing is controlled by the usual Glashow–Iliopoulos–Maiani suppression associated with the top-quark loop, keeping it safely below current experimental bounds throughout the viable parameter space. In addition, a specific right-handed phase texture in the right-handed quark mixing matrix, whose origin can be traced to a discrete Z2 symmetry in the right-handed quark sector, provides a technically natural and radiatively stable structural feature of the model. A numerical scan over the model parameter space identifies a viable region with y≡|Yts,tbH|≈0.39 and MH±≳600  GeV, consistent with current flavor and collider experimental constraints.

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