Rare charm $\mathbf{c}\to \mathbf{u}\mathbf{\nu }\bar{\mathbf{\nu }}$ dineutrino null tests for ${\mathbf{e}}^{+}{\mathbf{e}}^{-}$-machines

Abstract

Rare $|\Delta c|=|\Delta u|=1$ transitions into dineutrinos are strongly GIM-suppressed and constitute excellent null tests of the standard model. While branching ratios of $D\to P\nu \bar{\nu }$, $D\to P^{+}{P}^{-}\nu \bar{\nu }$, $P=\pi ,K$, baryonic ${\Lambda }_c^{+}\to p\nu \bar{\nu }$, and ${\Xi }_c^{+}\to {\Sigma }^{+}\nu \bar{\nu }$ and inclusive $D\to X\nu \bar{\nu }$ decays are experimentally unconstrained, signals of new physics can be just around the corner. We provide model-independent upper limits on branching ratios reaching few $\times 10^{-5}$ in the most general case of arbitrary lepton flavor structure, $\sim 10^{-5}$ for scenarios with charged lepton conservation and few $\times 10^{-6}$ assuming lepton universality. We also give upper limits in $Z^{\prime }$ and leptoquark models. The presence of light right-handed neutrinos can affect these limits, a possibility that can occur for lepton number violation at a TeV, and that can be excluded with an improved bound on $\mathcal{B}(D^0\to \text{invisibles})$ at the level of $\sim 10^{-6}$, about two orders of magnitude better than the present one. Signatures of $c\to u\nu \bar{\nu }$ modes contain missing energy and are suited for experimental searches at $e^{+}{e}^{-}$-facilities, such as BES III, Belle II and future $e^{+}{e}^{-}$-colliders, such as the FCC-ee running at the $Z$.

arXiv commentv2: 14 pages, 5 figures, 8 tables; typos fixed and minor numerical changes in inclusive results, conclusions unchanged; published version

References in corpus (28)

• Planck 2015 results. XIII. Cosmological parameters
• Dimension-Six Terms in the Standard Model Lagrangian
• FLAG Review 2019
• The Belle II Physics Book
• Future Physics Programme of BESIII
• An improved upper limit on the neutrino mass from a direct kinematic method by KATRIN
• Rare Charm Decays in the Standard Model and Beyond
• O new physics, where art thou? A global search in the top sector
• A Survey of Lepton Number Violation Via Effective Operators
• Leptoquark Flavor Patterns & B Decay Anomalies
• New strategies for New Physics search in B -> K* nu anti-nu, B -> K nu anti-nu and B -> X(s) nu anti-nu decays
• Combined analysis of charm-quark fragmentation-fraction measurements
• QCD Corrections to B -> X_{d,s} nu nubar, B_{d,s} -> l^+l^-, K -> pi nu nubar and K_L -> mu^+ mu^- in the MSSM
• Angular Analysis of the Decay ${\Lambda }_b\to \Lambda (\to N\pi ){\ell }^{+}{\ell }^{-}$
• ${\Lambda }_c\to N$ form factors from lattice QCD and phenomenology of ${\Lambda }_c\to n{\ell }^{+}{\nu }_{\ell }$ and ${\Lambda }_c\to p{\mu }^{+}{\mu }^{-}$ decays
• Charm Physics Confronts High-$p_T$ Lepton Tails
• Nonperturbative Effects in $\bar{B}\to X_s{l}^{+}{l}^{-}$ for Large Dilepton Invariant Mass
• Lepton Flavor Violation and Dilepton Tails at the LHC
• The New Physics Reach of Null Tests with $D\to \pi \ell \ell$ and $D_s\to K\ell \ell$ Decays
• Tree-level contributions to the rare decays B+ --> pi+ nu anti-nu, B+ --> K+ nu anti-nu, and B+ --> K*+ nu anti-nu in the Standard Model
• Null tests from angular distributions in $D\to P_1{P}_2{l}^{+}{l}^{-}$, $l=e,\mu$ decays on and off peak
• (A)symmetries of weak decays at and near the kinematic endpoint
• Rare radiative charm decays within the standard model and beyond
• Measurement of the D*(2010)+ meson width and the D*(2010)+ - D0 mass difference
• Model independent New Physics analysis in ${\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-}$ decay
• Probing lepton number violating interactions in rare kaon decays
• Search for $D^0$ decays to invisible final states at Belle
• Lepton universality and lepton flavor conservation tests with dineutrino modes

Cited by in corpus (19)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Combined Constraints on First Generation Leptoquarks
• Interplay of dineutrino modes with semileptonic rare $\mathbf{B}$-decays
• Correlating $B\to K^{(\ast )}\nu \bar{\nu }$ and flavor anomalies in SMEFT
• Two is better than one: The U-spin-CP anomaly in charm
• Search for the decay $D^0\to {\pi }^0\nu \bar{\nu }$
• Coloured Scalars Mediated Rare Charm Meson Decays to Invisible Fermions
• Flavor Physics at the CEPC: a General Perspective
• Exploring charm decays with missing energy in leptoquark models
• Pinning down $|\Delta c|=|\Delta u|=1$ couplings with rare charm baryon decays
• Impact of $b\to s\ell \ell$ anomalies on rare charm decays in non-universal $Z^{\prime }$ models
• $S$-wave contribution to rare $D^0\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decays in the Standard Model and sensitivity to New Physics
• FCNC processes of charmed hadrons with invisible scalar
• Prospects for discovering new physics in charm sector through low-energy scattering processes $e^{-}p\to e^{-}({\mu }^{-}){\Lambda }_c$
• Searching and identifying leptoquarks through low-energy polarized scattering processes $e^{-}p\to e^{-}{\Lambda }_c$
• New opportunities for rare charm from $Z\to c\bar{c}$ decays
• $c\to u\nu \bar{\nu }$ transitions of $B_c$ mesons: 331 model facing Standard Model null tests
• Probing invisible particles with charm
• Null test searches for BSM physics with rare charm decays