Letter
Open Access

Diquark explanation of $b \to s ℓ^{+} ℓ^{-}$

Andreas Crivellin^*

Matthew Kirk ^†

Physik-Institut, Universität Zürich, Winterthurerstrasse 190, CH–8057 Zürich, Switzerland and Paul Scherrer Institut, CH–5232 Villigen PSI, Switzerland

Departament de Física Quàntica i Astrofísica (FQA), Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (UB), Spain

^*andreas.crivellin@psi.ch
^†mjkirk@icc.ub.edu

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Phys. Rev. D 108, L111701 – Published 1 December, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L111701

Abstract

The discrepancies between $b \to s ℓ^{+} ℓ^{-}$ data and the corresponding Standard Model predictions point to the existence of new physics with a significance at the $5 σ$ level. While previously a lepton flavor universality violating effect was preferred, the new $R (K^{(*)})$ and $B_{s} \to μ^{+} μ^{-}$ measurements are now compatible with the Standard Model, favoring a lepton flavor universal beyond the Standard Model contribution to $C_{9}$ . Since heavy new physics is generally chiral, and because of the stringent constraints from charged lepton flavor violation, this poses a challenge for model building. In this article, we point out a novel possibility: a diquark, i.e., a colored scalar, induces the Wilson coefficient of the $(\bar{s} γ^{μ} P_{L} b) (\bar{c} γ_{μ} P_{L} c)$ operator at tree-level, which then mixes into $O_{9}$ via an off-shell photon penguin. This setup allows for a lepton flavor universal effect of $C_{9} \approx - 0.5$ , without violating bounds from $Δ M_{s}$ , $Δ Γ$ , $B \to X_{s} γ$ and $D^{0} - {\bar{D}}^{0}$ mixing. This scenario predicts a small and negative $C_{9}^{'}$ and a light diquark, preferably with a mass around 500 GeV, as compatible with the CMS di-dijet analysis, and a deficit in the inclusive $b \to c \bar{c} s$ rate.

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See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevD.108.L111701 for analytic expressions for the Wilson coefficients and details on the lifetime ratio and the semi-leptonic asymmetry for $B_{s}$ mesons.
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Phys. Rev. D 108, L111701– Published 1 December, 2023

Vol. 108, Iss. 11 — 1 December 2023

Received 3 October 2023
Accepted 15 November 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L111701

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Diquark explanation of $b \to s ℓ^{+} ℓ^{-}$

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Diquark explanation of b→sℓ+ℓ−

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Diquark explanation of $b \to s ℓ^{+} ℓ^{-}$