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Implications of $B \to K \nu \bar{\nu}$ under Rank-One Flavor Violation hypothesis
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abstract
We study the implications of the observed excess in $B^+ \to K^+ \nu \bar{\nu}$ under the assumption of Rank-One Flavour Violation, i.e. that New Physics couples to a single specific direction in flavour space. By varying this direction we perform analyses at the level of the low-energy EFT, the SMEFT, and with explicit mediators such as leptoquarks and colorless vectors ($Z^\prime$ and $V^\prime$). We study correlations with other flavour, electroweak and collider observables, finding that the most interesting ones are with $K \to \pi \nu \bar{\nu}$, $B_s \to \mu^+ \mu^-$, meson mixing and the LHC searches in $\tau^+ \tau^-$ high-energy tails. Among the various mediators, the scalar leptoquarks $\tilde{R}_2$ and $S_1$ offer the best fits of the Belle-II excess, while being consistent with the other bounds. On the other hand, colorless vectors are strongly constrained by meson mixing and resonance searches in $p p \to \tau^+ \tau^-$. In all cases we find that a flavour alignment close to the third generation is generically preferred.
Forward citations
Cited by 10 Pith papers
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Challenging Majorana neutrino effects in $B\to K^{(\ast)}\nu\nu$ and $K\to \pi\nu\nu$ decays
Belle-II's B→Kνν excess cannot be explained by dimension-7 lepton-number-violating SMEFT operators without fine-tuning neutrino masses, while a light sterile-neutrino extension can, with testable decay spectra.
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Radiative generation of chiral vector operators in $b\to s \nu\bar{\nu}$ transition
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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Gauged $\tau$-lepton chiral currents and $B \to K^{(*)} E_{\rm miss}$
Gauging chiral tau lepton number with a light X boson of mass about 2.1 GeV explains the Belle II B to K missing-energy excess and survives existing bounds.
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New Strategies for New Physics Search with $\Lambda_b \to \Lambda \nu \bar\nu$ Decays
For longitudinally polarized Lambda_b at future Z-pole machines, Lambda_b -> Lambda nu nubar has a forward-backward asymmetry that is independent of new physics at its zero crossing and complements the branching ratio...
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Are the new particles heavy or light in $b \to s E_{\mathrm{miss}}$?
The K* longitudinal polarization fraction separates heavy NP, light vector, and ALP explanations of the Belle-II B+ to K+ missing-energy excess, while the Lambda_b to Lambda polarization tags operator chirality.
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Flavor Violations in $B$-Mesons within Non-Minimal SU(5)
A non-minimal SU(5) model with R2 leptoquark and S6 diquark is fitted to B-decay anomalies in b→cτν, B→Kπ, and B→Kνν, but the benchmark B→Kνν rate rises only about 3.5% above the Standard Model.
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On the Interplay of Constraints from $B_s$, $D$, and $K$ Meson Mixing in $Z^\prime$ Models with Implications for $b\to s \nu\bar\nu$ Transitions
In Z' models with suppressed B_s mixing, SU(2)L and SMEFT RG correlations tie the B_s, D, and K sectors together and predict B to K(K*) nu nu enhancements of up to 20% when b to s mu mu rates are suppressed.
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Constraints on lepton-flavor mixing with third-generation new physics
The U(2)_ℓ-breaking spurion δ is constrained to |δ| < 0.051 (95% CL) by R_K(*) and B_s→μμ data, with derived upper limits for LFV τ and B decays.
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Probing $B^+ \to K^+$ semi-leptonic FCNC decay with new physics effects under PQCD approach
An improved PQCD plus lattice calculation of B to K semileptonic FCNC form factors confirms a 2.7 sigma excess in B+ to K+ nu nubar and a deficit in B+ to K+ l+ l-, and rules out single-leptoquark explanations using B...
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Implications of $K\to\pi\nu\bar\nu$ for new physics in $B$ decays
Updated NA62 K+→π+νν̄ data tighten modified-Z and U(2)^5 semileptonic fits and predict KL→π0νν̄ enhanced relative to K+ in the preferred U(2) lobe.
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