Probing $R$-parity violation in $B$-meson decays to a baryon and a light neutralino

Abstract

We propose a search for $B$ meson decays to a baryon plus missing energy at the Belle II experiment to probe supersymmetry with a GeV-scale lightest neutralino ${\tilde{\chi }}_1^0$ and $R$-parity violation (RPV). We perform analytic computations of the signal branching fractions in the framework of effective field theory, with a single nonzero RPV operator ${\lambda }_{ij3}^{\prime \prime }{\bar{U}}_i^c{\bar{D}}_j^c{\bar{D}}_3^c$, where $i,j=1,2$. The hadronic form factors are calculated using an SU(3) phenomenological Lagrangian approach for the proton, as well as several hyperons and charmed baryons. Since the decay of the neutralino is kinematically and CKM suppressed in this theoretical scenario, it decays outside the detector and appears experimentally only as missing energy. We detail the analysis techniques at the experimental level and estimate the background in the $B^{+}\to p{\tilde{\chi }}_1^0$ search using published results for $B^{+}\to K^{+}\nu \bar{\nu }$. Our final sensitivity plots are shown for both ${\lambda }_{113}^{\prime \prime }$ versus the squark mass $m_{\tilde{q}}$ and ${\lambda }_{113}^{\prime \prime }/m_{\tilde{q}}^2$ versus the neutralino mass $m_{{\tilde{\chi }}_1^0}$. We find that the search at Belle II could probe ${\lambda }_{113}^{\prime \prime }/m_{\tilde{q}}^2$ down to the order of $10^{-8}$ GeV${}^{-2}$ in the kinematically allowed $m_{{\tilde{\chi }}_1^0}$ range. We also obtain current limits on ${\lambda }_{123}^{\prime \prime }$ by recasting an existing search interpreted as $B^0\to {\Lambda }^0{\tilde{\chi }}_1^0$, and comment about searches for $B^{+}\to {\Sigma }^{+}{\tilde{\chi }}_1^0$, $B^0\to {\Sigma }^0{\tilde{\chi }}_1^0$, $B^{+}\to {\Lambda }_c^{+}{\tilde{\chi }}_1^0$, and $B^{+}\to {\Xi }_c^{+}{\tilde{\chi }}_1^0$. In closing, we briefly discuss potential searches at the LHCb and BESIII experiments.

30 pages, 8 figures. Matches published version

References in corpus (29)

• Magnetic moments of heavy baryons in the relativistic three-quark model
• Can neutralinos in the MSSM and NMSSM scenarios still be light?
• Proton decay matrix elements with domain-wall fermions
• Probing dark sectors with long-lived particles at BELLE II
• Invisible and displaced dark matter signatures at Belle II
• Radiative decays of double heavy baryons in a relativistic constituent three-quark model including hyperfine mixing
• Proton lifetime bounds from chirally symmetric lattice QCD
• Baryogenesis from Oscillations of Charmed or Beautiful Baryons
• Charmed baryon Sigmac(2800) as a ND hadronic molecule
• Proton decay matrix elements on the lattice at physical pion mass
• Distribution amplitudes of $\Sigma$ and $\Lambda$ and their electromagnetic form factors
• Collider Signals of Baryogenesis and Dark Matter from $B$ Mesons: A Roadmap to Discovery
• Long-lived Dark Higgs and Inelastic Dark Matter at Belle II
• Heavy QCD Axion at Belle II: Displaced and Prompt Signals
• R-parity Violation and Light Neutralinos at ANUBIS and MAPP
• Searching for a Sterile Neutrino in Tau Decays at B-factories
• ${\Sigma }_Q{\Lambda }_Q\pi$ Coupling Constant in Light Cone QCD Sum Rules
• Exploring properties of long-lived particles in inelastic dark matter models at Belle II
• Long-lived light neutralinos at Belle II
• Nucleon decay in the R-parity violating MSSM
• Displaced Searches for Light Vector Bosons at Belle II
• $\tau \to \ell +$ invisible through invisible-savvy collider variables
• Searching for light long-lived neutralinos at Super-Kamiokande
• Probing sterile neutrino in $B$ ($D$) meson decays at Belle II (BESIII)
• Threshold Resummation Effects in the Associated Production of Chargino and Neutralino at Hadron Colliders
• B-Meson Decays into Final States with a tau Lepton
• On the possible resolution of the B-meson decay polarization anomaly in R-parity violating SUSY
• Search for dark photon and dark matter signatures around electron-positron colliders
• Multi-track Displaced Vertices at B-Factories

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• FCNC $B$ and $K$ Meson Decays with Light Bosonic Dark Matter
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• Search for $B$ Mesogenesis at BABAR
• The ABC of RPV II: Classification of R-parity Violating Signatures from UDD Couplings and their Coverage at the LHC
• Investigating New Physics through the Observables of Semileptonic $B_s\to K^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ Decay