Investigation of Effects of New Physics in $c\to (s,d){\ell }^{+}{\nu }_{\ell }$ Transitions

Abstract

Recent anomalies in decays induced by $b\to c{\ell }^{-}{\bar{\nu }}_{\ell }$ transitions raise the question about such phenomena in the $D$ decays induced by $c\to (s,d){\ell }^{+}{\nu }_{\ell }$ transitions. In the experimental side, current measurements on the pure leptonic and semileptonic $D$ decays agree with the standard model predictions, such agreements can be used to constrain the new physics (NP) contributions. In this work, we extend the standard model by assuming general effective Hamiltonians describing the $c\to (s,d){\ell }^{+}{\nu }_{\ell }$ transitions including the full set of the four-fermion operators. Within the latest experimental data, we perform a minimum ${\chi }^2$ fit of the Wilson coefficient corresponding to each operator. The results show that the Wilson coefficients of scalar operators in muon sector are at the order of $\mathcal{O}(10^{-2})$, and others are at the order of $\mathcal{O}(10^{-3})$. The lepton flavor universality could be violated by the scalar operators. We also calculate the branching fractions, the forward-backward asymmetries and polarizations of final vector mesons and leptons with the fitted Wilson coefficients of scalar and tensor operators. It is found that the pure leptonic decays are very sensitive to the scalar operators. The effects of NP on the semileptonic decays with electron are negligible, while for the semileptonic decays with muon the effects of scalar operators will show up in the forward-backward asymmetries and polarizations of muon of $D\to P{\mu }^{+}{\nu }_{\mu }$. The future measurements in BESIII and Belle II experiments will help us to test effects of NP and to further test new physics models.

28 Pages,9 figures

References in corpus (18)

• Future Physics Programme of BESIII
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• New Physics effect on $B_c\to J/\psi \tau \bar{\nu }$ in relation to the $R_{D^{(\ast )}}$ anomaly
• $B_{(s)},D_{(s)}\to \pi ,K,\eta ,\rho ,K^{\ast },\omega ,\varphi$ Transition Form Factors and Decay Rates with Extraction of the CKM parameters $|V_{ub}|$, $|V_{cs}|$, $|V_{cd}|$
• Accumulating evidence for nonstandard leptonic decays of D_s mesons
• Analyzing new physics in the decays ${\bar{B}}^0\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ with form factors obtained from the covariant quark model
• Probing New Physics with $q^2$ distributions in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Semileptonic decays of $D$ and $D_s$ mesons in the relativistic quark model
• Discerning new physics in charm meson leptonic and semileptonic decays
• Charged current $b\to c\tau {\bar{\nu }}_{\tau }$ anomalies in a general $W^{\prime }$ boson scenario
• Investigation of Effects of New Physics in ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ Decay
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Observation of the leptonic decay $D^{+}\to {\tau }^{+}{\nu }_{\tau }$
• Soft Photon Problem in Leptonic B-decays
• Testing Lepton Flavour Universality with (Semi)-Leptonic $D_{(s)}$ Decays
• Semileptonic and leptonic $B$ decays, circa 2016
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• Decays $D_{(s)}^{+}\to \pi (K{)}^{+}{\ell }^{+}{\ell }^{-}$ and $D^0\to {\ell }^{+}{\ell }^{-}$ in the MSSM with and without R-parity

Cited by in corpus (17)

• Measurement of the Absolute Branching Fraction of $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to e^{+}{\nu }_e{\bar{\nu }}_{\tau }$
• Constraining $|V_{cs}|$ and physics beyond the Standard Model from exclusive (semi)leptonic charm decays
• Observation of the Decay $D^0\to {\rho }^{-}{\mu }^{+}{\nu }_{\mu }$
• Improved measurement of the semileptonic decay $D_s^{+}\to K^0{e}^{+}{\nu }_e$
• Hyperon production in quasielastic ${\bar{\nu }}_{\tau }-$nucleon scattering
• Test of lepton universality and measurement of the form factors of $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$
• Measurements of the branching fractions of semileptonic $D_s^{+}$ decays via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Hidden physics in pion and some other meson decays
• Precise measurement of the form factors in $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$ and test of lepton universality with $D^0\to K^{\ast }(892{)}^{-}{\ell }^{+}{\nu }_{\ell }$ decays
• Precision Measurement of the Branching Fraction of $D^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Inclusive quasielastic (anti-)neutrino nucleus scattering within the Standard Model and beyond
• Chirality structure of vector like new physics operators in charged current transitions
• Model Dependent Analysis of D_((s))^+ arrows η^((')) l^+ ν_l Decays in Beyond Standard Model
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$
• Observation of $D^{+}\to K_S^0{\pi }^0{\mu }^{+}{\nu }_{\mu }$, Test of Lepton Flavor Universality and First Angular Analysis of $D^{+}\to {\bar{K}}^{\ast }(892{)}^0{\ell }^{+}{\nu }_{\ell }$
• First Measurement of the $D_s^{+}\to K^0{\mu }^{+}{\nu }_{\mu }$ Decay
• Probing New Physics and CP Violation in ${\nu }_{\tau }n\to {\Lambda }_c{\tau }^{-}({\pi }^{-}{\nu }_{\tau })$ and ${\bar{\nu }}_{\tau }p\to \Lambda {\tau }^{+}({\pi }^{+}{\bar{\nu }}_{\tau })$