Testing Lepton Flavour Universality with (Semi)-Leptonic $D_{(s)}$ Decays

Abstract

Data in $B$-meson decays indicate violations of lepton flavour universality, thereby raising the question about such phenomena in the charm sector. We perform a model-independent analysis of NP contributions in (semi)-leptonic decays of $D_{(s)}$ mesons which originate from $c\to d\bar{\ell }{\nu }_{\ell }$ and $c\to s\bar{\ell }{\nu }_{\ell }$ charge-current interactions. Starting from the most general low-energy effective Hamiltonian containing four-fermion operators and the corresponding short-distance coefficients, we explore the impact of new (pseudo)-scalar, vector and tensor operators and constrain their effects through the interplay with current data. We pay special attention to the elements $|V_{cd}|$ and $|V_{cs}|$ of the Cabibbo--Kobayashi--Maskawa matrix and extract them from the $D_{(s)}$ decays in the presence of possible NP decay contributions, comparing them with determinations utilizing unitarity. We find a picture in agreement with the Standard Model within the current uncertainties. Using the results from our analysis, we make also predictions for leptonic $D_{(s)}^{+}\to e^{+}{\nu }_e$ modes which could be hugely enhanced with respect to their tiny Standard Model branching ratios. It will be interesting to apply our strategy at the future high-precision frontier.

arXiv comment34 pages, 17 figures. v2: references added

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• Charm Physics Confronts High-$p_T$ Lepton Tails
• New Physics effects in leptonic and semileptonic decays
• Improved $V_{cs}$ determination using precise lattice QCD form factors for $D\to K\ell \nu$
• Investigation of Effects of New Physics in $c\to (s,d){\ell }^{+}{\nu }_{\ell }$ Transitions
• Semileptonic decays of $D_{(s)}$ mesons
• Coloured Scalars Mediated Rare Charm Meson Decays to Invisible Fermions
• Role of $B_c^{+}\to B_{s,d}^{(\ast )}\bar{\ell }{\nu }_{\ell }$ in the Standard Model and in the search for BSM signals
• Constraining $|V_{cs}|$ and physics beyond the Standard Model from exclusive (semi)leptonic charm decays
• Hyperon production in quasielastic ${\bar{\nu }}_{\tau }-$nucleon scattering
• Inclusive quasielastic (anti-)neutrino nucleus scattering within the Standard Model and beyond
• Observation of $D^{+}\to K_S^0{\pi }^0{\mu }^{+}{\nu }_{\mu }$, Test of Lepton Flavor Universality and First Angular Analysis of $D^{+}\to {\bar{K}}^{\ast }(892{)}^0{\ell }^{+}{\nu }_{\ell }$
• Re-evaluation of the isoscalar mixing angle within selected mesonic nonets
• Probing New Physics and CP Violation in ${\nu }_{\tau }n\to {\Lambda }_c{\tau }^{-}({\pi }^{-}{\nu }_{\tau })$ and ${\bar{\nu }}_{\tau }p\to \Lambda {\tau }^{+}({\pi }^{+}{\bar{\nu }}_{\tau })$
• Transition form factors for $D/B$ to $a_0(980)$ from light-cone QCD sum rules