Puzzles in charmed baryon semileptonic decays with $SU(3{)}_F$ flavor symmetry and lattice inputs

Abstract

Recent measurements of charmed-baryon semileptonic decays signal large tensions between experiment and theory, including $SU(3{)}_F$ analyses and lattice-quantum chromodynamics simulations. Possible sources of the discrepancy include the experimental normalization mode ${\Xi }_c^0\to {\Xi }^{-}{\pi }^{+}$. Using lattice-QCD inputs in an $SU(3{)}_F$ analysis including first-order symmetry breaking, we predict $\mathcal{B}({\Xi }_c^{+}\to {\Sigma }^0{\ell }^{+}{\nu }_{\ell })/\mathcal{B}({\Xi }_c^{+}\to {\Xi }^0{\ell }^{+}{\nu }_{\ell })=(2.6\pm 0.3)\%,$ and $\mathcal{B}({\Xi }_c^{+}\to \Lambda {\ell }^{+}{\nu }_{\ell })/\mathcal{B}({\Xi }_c^{+}\to {\Xi }^0{\ell }^{+}{\nu }_{\ell })=(1.1\pm 0.1)\%,$ with ${\ell }^{+}=(e^{+},{\mu }^{+})$. These ratios provide normalization-independent tests and may help clarify the origin of the present tension.

Comments: 6 pages, 2 figures