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Disentangling new physics in Krightarrowπbar{ν}ν and Brightarrow K(K^*)bar{ν}ν observables

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arxiv 2405.06742 v2 pith:MTXRV3K5 submitted 2024-05-10 hep-ph hep-exhep-lat

Disentangling new physics in Krightarrowπbar{ν}ν and Brightarrow K(K^*)bar{ν}ν observables

classification hep-ph hep-exhep-lat
keywords operatorsrightarrowcurrentsdisplaystyleleftdecaysdistributionsfinal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the possibility of disentangling different new physics contributions to the rare meson decays $K\rightarrow\pi+\displaystyle{\not}E$ and $B\rightarrow K(K^*)+\displaystyle{\not}E$ through kinematic distributions in the missing energy $\displaystyle{\not}E$. We employ dimension-$6$ operators within the Low-Energy Effective Field Theory (LEFT), identifying the invisible part of the final state as either active or sterile neutrinos. Special emphasis is given to lepton-number violating (LNV) operators with scalar and tensor currents. We show analytically that contributions from scalar, vector, and tensor quark currents can be uniquely determined from experimental data of kinematic distributions. In addition, we present new correlations of branching ratios for $K$ and $B$-decays involving scalar and tensor currents. As there could a priori also be new invisible particles in the final states, we include dark-sector operators giving rise to two dark scalars, fermions, or vectors in the final state. In this context, we present new calculations of the inclusive decay rate $B\rightarrow X_s+\displaystyle{\not}E$ for dark operators. We show that careful measurements of kinematic distributions make it theoretically possible to disentangle the contribution from LEFT operators from most of the dark-sector operators, even when multiple operators are contributing. We revisit sum rules for vector currents in LEFT and show that the latter are also satisfied in some new dark-physics scenarios that could mimic LEFT. Finally, we point out that an excess in rare meson decays consistent with a LNV hypothesis would point towards highly flavor non-democratic physics in the UV, and could put high-scale leptogenesis under tension.

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Cited by 10 Pith papers

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    hep-ph 2026-07 conditional novelty 6.0

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    Minimal one-loop models that generate both chiral vector operators for b→sνν̄ are systematically classified but cannot quantitatively explain the Belle II anomaly.

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