Effective field theory analysis of rare $|\Delta c|=|\Delta u|=1$ charm decays

Abstract

We perform a global analysis of $|\Delta c|=|\Delta u|=1$ transitions using recent data on $D^0\to {\mu }^{+}{\mu }^{-}$, $D^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$, ${\Lambda }_c\to p{\mu }^{+}{\mu }^{-}$, and $D^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays, and work out constraints on new physics Wilson coefficients ${\mathcal{C}}_{7,9,10}^{(\prime )}$. While results are consistent with the standard model, we find sizeable room for new physics that can be cleanly signaled with null test observables, not probed with searches in other sectors such as kaon and $b$-decays. The decay $D^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ requires better understanding of hadronic contributions to be competitive in the current fit. Progress can be achieved by precision study of the double differential decay rate in the dipion and dimuon masses, together with improved theory modelling and $D\to \pi \pi$ transition form factors. On the other hand, the 4-body decay is an important contributor to the future global analysis due to its angular distributions that probe complementary combinations of Wilson coefficients, and as a QCD laboratory. The decay ${\Lambda }_c\to p{\ell }^{+}{\ell }^{-}$ is the rising star due to the simplicity of a 3-body decay with available form factors from lattice QCD, sensitivity to both 4-fermion and electromagnetic dipole couplings and its null test forward-backward asymmetry.

arXiv comment40 pages, 9 figures, v2: Angle phi convention in footnote 3 corrected, Figs 5,6,7 and Tables 3,4 updated accordingly, sign in I_9 Eq 3.34, B9 fixed, conclusions unchanged

References in corpus (25)

• FLAG Review 2021
• Weak Radiative B-Meson Decay Beyond Leading Logarithms
• Photonic penguins at two loops and m_t-dependence of BR[ B -> X_s l^+ l^-]
• Weak form factors for heavy meson decays: an update
• Angular Distributions of B -> K ll Decays
• Lepton Polarization in the Decays $B\to X_s{\mu }^{+}{\mu }^{-}$ and $B\to X_s{\tau }^{+}{\tau }^{-}$
• Rare Charm Decays in the Standard Model and Beyond
• Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops
• Prospects of discovering new physics in rare charm decays
• Flavor & new physics opportunities with rare charm decays into leptons
• The $c\to u\gamma$ Contribution to Weak Radiative Charm Decay
• Charm Physics Confronts High-$p_T$ Lepton Tails
• Standard Model prediction and new physics tests for D0 -> h+h-l+l- (h=π,K; l=e,μ)
• Interplay of dineutrino modes with semileptonic rare $\mathbf{B}$-decays
• The New Physics Reach of Null Tests with $D\to \pi \ell \ell$ and $D_s\to K\ell \ell$ Decays
• Null tests from angular distributions in $D\to P_1{P}_2{l}^{+}{l}^{-}$, $l=e,\mu$ decays on and off peak
• The Radiative Leptonic Decays D^0 -> e^+ e^- gamma, mu^+ mu^- gamma in the Standard Model and Beyond
• Theoretical and experimental status of rare charm decays
• $D\to \rho {\ell }^{+}{\ell }^{-}$ Decays in the QCD Factorization Approach
• Model-independent analysis of $b\to d$ processes
• The Rare Decay D^0 -> gamma gamma
• Higher-order Wilson coefficients for c $\to$ u transitions in the Standard Model
• Disentangling QCD and New Physics in $D^{+}\to {\pi }^{+}{\ell }^{+}{\ell }^{-}$
• Pinning down $|\Delta c|=|\Delta u|=1$ couplings with rare charm baryon decays
• Radiative three-body D-meson decays in and beyond the standard model

Cited by in corpus (5)

• Rare ${\Lambda }_c$ decays and new physics effects
• Search for $D^0$ meson decays to ${\pi }^{+}{\pi }^{-}{e}^{+}{e}^{-}$ and $K^{+}{K}^{-}{e}^{+}{e}^{-}$ final states
• Search for resonance-enhanced $CP$ and angular asymmetries in the ${\Lambda }_c^{+}\to p{\mu }^{+}{\mu }^{-}$ decay at LHCb
• New opportunities for rare charm from $Z\to c\bar{c}$ decays
• Search for the rare decay D${}^0$ $\to$ ${\mu }^{+}{\mu }^{-}$ in proton-proton collisions at $\sqrt{s}$ = 13.6 TeV