Abstract
In the context of the recently measured non-leptonic decays Bd → \( {K}^{\ast 0}{\overline{K}}^{\ast 0} \) and Bs → \( {K}^{\ast 0}{\overline{K}}^{\ast 0} \) we analyse the anatomy of the LVV observable that compares the longitudinal components of Bs → VV and Bd → VV decays. This observable is cleaner than the longitudinal polarisation fraction as it is afflicted only at subleading order in a 1/mb expansion by the theoretical uncertainties arising in the transverse components entering the polarisation fraction. Focusing on the particular case of Bd → \( {K}^{\ast 0}{\overline{K}}^{\ast 0} \) and Bs → \( {K}^{\ast 0}{\overline{K}}^{\ast 0} \), we discuss the main sources of hadronic uncertainty in the SM. We find for the SM prediction \( {L}_{K^{\ast }{\overline{K}}^{\ast }}={19.5}_{-6.8}^{+9.3} \), which implies a 2.6σ tension with respect to the most recent data, pointing to a deficit in the b → s transition of the non-leptonic decay versus the corresponding b → d transition. We discuss possible New Physics explanations for this deviation, first at the level of the Weak Effective Theory and we identify that the two Wilson coefficients \( {\mathcal{C}}_4 \) and \( {\mathcal{C}}_{8g} \) can play a central role in explaining this anomaly. Finally, we briefly explore two different simplified New Physics models which can explain the anomaly through a contribution either in \( {\mathcal{C}}_4 \) (Kaluza-Klein gluon) or in \( {\mathcal{C}}_{8g} \), with a significant amount of fine tuning, but possible connections to the b → sℓℓ anomalies.
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Algueró, M., Crivellin, A., Descotes-Genon, S. et al. A new B-flavour anomaly in Bd,s → \( {K}^{\ast 0}{\overline{K}}^{\ast 0} \): anatomy and interpretation. J. High Energ. Phys. 2021, 66 (2021). https://doi.org/10.1007/JHEP04(2021)066
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DOI: https://doi.org/10.1007/JHEP04(2021)066