A new puzzle in non-leptonic B decays

Abstract

We build a set of new observables using closely related non-leptonic penguin-mediated $B_d$ and $B_s$ decays: ${\bar{B}}_{d,s}\to K^{\ast 0}{\bar{K}}^{\ast 0}$, ${\bar{B}}_{d,s}\to K^0{\bar{K}}^0$, ${\bar{B}}_{d,s}\to K^0{\bar{K}}^{\ast 0}$ and ${\bar{B}}_{d,s}\to {\bar{K}}^0{K}^{\ast 0}$ together with their CP conjugate partners. These optimised observables are designed to reduce hadronic uncertainties, mainly coming from form factors and power-suppressed infrared divergences, and thus maximize their sensitivity to New Physics (NP). The deviations observed with respect to the SM in the ratios of branching ratios of ${\bar{B}}_{d,s}\to K^{\ast 0}{\bar{K}}^{\ast 0}$ ($2.6\sigma$) and ${\bar{B}}_{d,s}\to K^0{\bar{K}}^0$ ($2.4\sigma$) can be explained by simple NP scenarios involving the Wilson coefficients ${\mathcal{C}}_4$ and ${\mathcal{C}}_6$ (QCD penguin operators) and the coefficient ${\mathcal{C}}_{8g}$ (chromomagnetic operator). The optimised observables for ${\bar{B}}_{d,s}\to K^0{\bar{K}}^{\ast 0}$ and ${\bar{B}}_{d,s}\to {\bar{K}}^0{K}^{\ast 0}$ show distinctive patterns of deviations with respect to their SM predictions under these NP scenarios. The pattern of deviations of individual branching ratios, though affected by significant hadronic uncertainties, suggests that NP is needed both in $b\to d$ and $b\to s$ transitions. We provide the regions for the Wilson coefficients consistent with both optimised observables and individual branching ratios. The NP scenarios considered to explain the deviations of ${\bar{B}}_{d,s}\to K^{\ast 0}{\bar{K}}^{\ast 0}$ and ${\bar{B}}_{d,s}\to K^0{\bar{K}}^0$ can yield deviations up to an order of magnitude among the observables that we introduced for ${\bar{B}}_{d,s}\to K^0{\bar{K}}^{\ast 0}$ and ${\bar{B}}_{d,s}\to {\bar{K}}^0{K}^{\ast 0}$. Probing these new observables experimentally may confirm the consistency of the deviations already observed and provide a highly valuable hint of NP in the non-leptonic sector.

arXiv comment46 pages, 29 figures

References in corpus (30)

• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• FLAG Review 2019
• $B\to V{\ell }^{+}{\ell }^{-}$ in the Standard Model from Light-Cone Sum Rules
• Probing New Physics via the $B_s^0\to {\mu }^{+}{\mu }^{-}$ Effective Lifetime
• Branching fractions, polarisation and asymmetries of B -> VV decays
• In Pursuit of New Physics with B_s Decays
• Branching Ratio Measurements of $B_s$ Decays
• New Strategies to Extract $\beta$ and $\gamma$ from $B_d\to {\pi }^{+}{\pi }^{-}$ and $B_s\to K^{+}{K}^{-}$
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• B meson distribution amplitude from B --> γl ν
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• $B_s\to K\ell {\nu }_{\ell }$ and $B_{(s)}\to \pi (K){\ell }^{+}{\ell }^{-}$ decays at large recoil and CKM matrix elements
• |V_td/V_ts| from B-> V gamma
• $B$ Flavour Anomalies: 2021 Theoretical Status Report
• Model-independent bounds on new physics effects in non-leptonic tree-level decays of B-mesons
• Factorization and dispersion relations for radiative leptonic $B$ decay
• $B_{s,d}\to \pi \pi ,\pi K,KK$: Status and Prospects
• Extracting CKM Phases from Angular Distributions of $B_{d,s}$ Decays into Admixtures of CP Eigenstates
• In Pursuit of New Physics with B^0_s -> K^+K^-
• Flavor Anomalies in Heavy Quark Decays
• Exploring B_{d,s}-> KK decays through flavour symmetries and QCD-factorisation
• $B_{d,s}\to \gamma \ell \bar{\ell }$ decay with an energetic photon
• Inverse moment of the $B_s$-meson distribution amplitude from QCD sum rule
• A new $B$-flavour anomaly in $B_{d,s}\to K^{\ast 0}{\bar{K}}^{\ast 0}$: anatomy and interpretation
• The time-dependent angular analysis of $B_d\to K_S\ell \ell$, a new benchmark for new physics
• QCD factorization of the four-lepton decay $B^{-}\to \ell {\bar{\nu }}_{\ell }{\ell }^{(\prime )}{\bar{\ell }}^{(\prime )}$
• A U-spin Puzzle in $B$ Decays
• Modelling theoretical uncertainties in phenomenological analyses for particle physics

Cited by in corpus (6)

• Review of Semileptonic $B$ Anomalies
• Anomalies in Hadronic $B$ Decays
• Impact on $L$-observables of a new combined analysis of $B_{d,s}\to K^{(\ast )}$ form factors
• Measurement of the branching fractions and longitudinal polarisations of $B_{(s)}^0\to K^{\ast 0}\overline{K}{}^{\ast 0}$ decays
• Explaining the $B_{d(s)}\to K^{(\ast )}{\bar{K}}^{(\ast )}$ puzzle via chiral-flip in $R$-parity violating MSSM with seesaw mechanism
• Polarisation fractions in $B\to V_1{V}_2$: U-Spin constraints and new physics signatures