Impact of $b\to s\ell \ell$ anomalies on rare charm decays in non-universal $Z^{\prime }$ models

Abstract

In this work, we study the impact of $b\to s\ell \ell$, $B_s-\overline{B_s}$ mixing and neutrino trident measurements on observables in decays induced by $c\to u$ transition in the context of a non-universal $Z^{\prime }$ model which generates $C_9^{\mathrm{NP}}<0$ and $C_9^{\mathrm{NP}}=-C_{10}^{\mathrm{NP}}$ new physics scenarios at the tree level. We inspect the effects on $D^0\to {\pi }^0\nu \bar{\nu }$, $D^{+}\to {\pi }^{+}\nu \bar{\nu }$ and $B_c\to B^{+}\nu \bar{\nu }$ decays which are induced by the quark level transition $c\to u\nu \bar{\nu }$. The fact that the branching ratios of these decays are negligible in the standard model (SM) and the long distance effects are relatively smaller in comparison to their charged dileptons counterparts, they are considered to provide genuine null-tests of SM. Therefore the observation of these modes at the level of current as well as planned experimental sensitivities would imply unambiguous signature of new physics. Using the constraints on $Z^{\prime }$ couplings coming from a combined fit to $b\to s\ell \ell$, $\Delta M_s$ and neutrino trident data, we find that any meaningful enhancement over the SM value is ruled out in the considered framework. The same is true for $D-\bar{D}$ mixing observable $\Delta M_D$ along with $D^0\to {\mu }^{+}{\mu }^{-}$ and $D^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decay modes which are induced through $c\to u{\mu }^{+}{\mu }^{-}$ transition.

23 pages, 3 figures; Published version

References in corpus (18)

• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Implications of D^0-\bar D^0 Mixing for New Physics
• On the single leptoquark solutions to the $B$-physics anomalies
• $\Delta M_s$ theory precision confronts flavour anomalies
• Phenomenology of an $SU(2)\times SU(2)\times U(1)$ model with lepton-flavour non-universality
• QED Corrections in $\bar{B}\to \bar{K}{\ell }^{+}{\ell }^{-}$ at the Double-Differential Level
• Relating D0-anti-D0 Mixing and D0 -> l+l- with New Physics
• Family Non-universal $U(1{)}^{\prime }$ Gauge Symmetries and $b\to s$ Transitions
• Shedding light on the $b\to s$ anomalies with a dark sector
• Combined Explanation of the $Z\to b\bar{b}$ Forward-Backward Asymmetry, the Cabibbo Angle Anomaly, $\tau \to \mu \nu \nu$ and $b\to s{\ell }^{+}{\ell }^{-}$ Data
• Exploiting CP-asymmetries in rare charm decays
• Charm mixing in the Standard Model and beyond
• Rare charm $\mathbf{c}\to \mathbf{u}\mathbf{\nu }\bar{\mathbf{\nu }}$ dineutrino null tests for ${\mathbf{e}}^{+}{\mathbf{e}}^{-}$-machines
• Theoretical and experimental status of rare charm decays
• Exploring charm decays with missing energy in leptoquark models
• Lepton universality and lepton flavor conservation tests with dineutrino modes
• Leptonic Operators for Cabbibo Angle Anomaly with SMEFT RG Evolution
• New Physics from rare decays of charm

Cited by in corpus (3)

• A global analysis of $b\to s\ell \ell$ data in heavy and light $Z^{\prime }$ models
• FCNC charmed-hadron decays with invisible singlet particles in light of recent data
• Discriminating 1D new physics solutions in $b\to s\ell \ell$ decays