The $c\to u\gamma$ Contribution to Weak Radiative Charm Decay

Abstract

The $c\to u\gamma$ transition does not occur at the tree level in the Standard Model and is strongly GIM-suppressed at one loop. The leading QCD logarithms are known to enhance the amplitude by two orders of magnitude. We point out that the amplitude increases further by two orders of magnitude after including the complete 2-loop QCD contributions. Nevertheless, $\Delta S=0$ radiative decays of charmed hadrons remain dominated by the $c\to d\bar{d}u\gamma$ and $c\to s\bar{s}u\gamma$ quark subprocesses.

Mistake in the negligible one-loop contribution corrected

References in corpus (1)

• Calculation of Long-Distance Effects in Exclusive Weak Radiative Decays of B-Mesons

Cited by in corpus (58)

• Implications of LHCb measurements and future prospects
• Rare Charm Decays in the Standard Model and Beyond
• Present Status of Inclusive Rare B Decays
• $B_{(s)},D_{(s)}\to \pi ,K,\eta ,\rho ,K^{\ast },\omega ,\varphi$ Transition Form Factors and Decay Rates with Extraction of the CKM parameters $|V_{ub}|$, $|V_{cs}|$, $|V_{cd}|$
• $D^0-\overline{D^0}$ Mixing and Rare Charm Decays
• Prospects of discovering new physics in rare charm decays
• B, D and K decays
• Flavor & new physics opportunities with rare charm decays into leptons
• On $D\to X_u{l}^{+}{l}^{-}$ within the Standard Model and Frameworks like the Littlest Higgs Model with T Parity
• Effects of Littlest Higgs model in rare D meson decays
• Standard Model prediction and new physics tests for D0 -> h+h-l+l- (h=π,K; l=e,μ)
• Updated constraints on new physics in rare charm decays
• Shedding light on CP violation in the charm system via D to V gamma decays
• Rare charm meson decays D->Pl^+l^- and c->ul^+l^- in SM and MSSM
• Scalar doublet models confront $\tau$ and $b$ anomalies
• $c\to u\gamma$ in the minimal supersymmetric standard model
• Rare radiative charm decays within the standard model and beyond
• Short Distance Analysis of D^0-anti-D^0 Mixing
• Long distance $c\to u\gamma$ effects in weak radiative decays of D-mesons
• Theoretical and experimental status of rare charm decays
• Direct probes of flavor-changing neutral currents in $e^{+}{e}^{-}$ collisions
• $D\to \rho {\ell }^{+}{\ell }^{-}$ Decays in the QCD Factorization Approach
• The Rare Decay D^0 -> gamma gamma
• Resonant and nonresonant contributions to the weak $D\to V{l}^{+}{l}^{-}$ decays
• Rare Decay of the Top t -> cgg in the Standard Model
• Analysis of the semileptonic (B_c -> B_u* l+ l-) decay from QCD sum rules
• Higher-order Wilson coefficients for c $\to$ u transitions in the Standard Model
• D^0 -> gamma gamma and D^0 -> mu^+ mu^- Rates on an Unlikely Impact of the Littlest Higgs Model with T-Parity
• D-\bar D mixing and rare D decays in the Littlest Higgs model with non-unitarity matrix
• Two loop virtual corrections to $b\to (d,s){\ell }^{+}{\ell }^{-}$ and $c\to u{\ell }^{+}{\ell }^{-}$ for arbitrary momentum transfer
• Radiative Decay Modes of the $D^0$ Meson
• New Physics effects in charm meson decays involving $c\to u{l}^{+}{l}^{-}(l_i^{\mp }{l}_j^{\pm })$ transitions
• FCNC transitions $c\to u\gamma$ and $s\to d\gamma$ in $B_c\to B_u^{\ast }\gamma$ and $B_s\to B_d^{\ast }\gamma$ decays
• Search for the rare decay $D^0\to \gamma \gamma$ at Belle
• The $D\to \rho$ semileptonic and radiative decays within the light-cone sum rules
• The Potential for Neutrino Physics at Muon Colliders and Dedicated High Current Muon Storage Rings
• More about on the short distance contribution to the "B_c -> B_u^* gamma" decay
• A Possible Arena for Searching New Physics - the $\Gamma (D^0\to {\rho }^0\gamma )/\Gamma (D^0\to \omega \gamma )$ Ratio
• Exclusive Radiative Decays of B Mesons in QCD Factorization
• Search for $D^0\to \gamma \gamma$ and improved measurement of the branching fraction for $D^0\to {\pi }^0{\pi }^0$
• Decays $D_{(s)}^{+}\to \pi (K{)}^{+}{\ell }^{+}{\ell }^{-}$ and $D^0\to {\ell }^{+}{\ell }^{-}$ in the MSSM with and without R-parity
• FCNC-induced semileptonic decays of $J/\psi$ in the Standard Model
• The rare decays of D mesons
• Effective field theory analysis of rare $|\Delta c|=|\Delta u|=1$ charm decays
• Impact of $b\to s\ell \ell$ anomalies on rare charm decays in non-universal $Z^{\prime }$ models
• Recent results on charm physics at BESIII
• $S$-wave contribution to rare $D^0\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decays in the Standard Model and sensitivity to New Physics
• Rare top-quark decays $t\to cg(g)$ in the aligned two-Higgs-doublet model
• Cabibbo Allowed D -> K pi gamma Decays
• Searching for New physics in Charm Radiative decays
• First search for the weak radiative decays ${\Lambda }_c^{+}\to {\Sigma }^{+}\gamma$ and ${\Xi }_c^0\to {\Xi }^0\gamma$
• New opportunities for rare charm from $Z\to c\bar{c}$ decays
• Rare Charm Decays
• Rare Radiative $B_c\to D_{s1}(2460)\gamma$ Transition in QCD
• Charm Radiative Decays with Neutral Mesons D^0 -> K^0(bar) pi^0 gamma, D^0 -> K^0(bar) eta (eta') gamma
• Radiative decays of D mesons
• Charm Physics 1996 - A Retrospective
• $CP$ violation in $D$ meson decays at Belle