First Lattice QCD determination of semileptonic decays of charmed-strange baryons ${\Xi }_c$

Abstract

While the standard model is the most successfully theory to describe all interactions and constituents in elementary particle physics, it has been constantly examined for over four decades. Weak decays of charm quarks can measure the coupling strength of quarks in different families and serve as an ideal probe for CP violation. As the lowest charm-strange baryons with three different flavors, ${\Xi }_c$ baryons (made of $csu$ or $csd$) have been extensively studied in experiments at the large hadron collider and in electron-positron collision. However the lack of reliable knowledge in theory becomes the unavoidable obstacle in the way. In this work, we use the state-of-the-art Lattice QCD techniques, and generate 2+1 clover fermion ensembles with two lattice spacings, $a=(0.108\mathrm{fm},0.080\mathrm{fm})$. We then present the first {\it ab-initio} lattice QCD determination of form factors governing ${\Xi }_c\to \Xi {\ell }^{+}{\nu }_{\ell }$, analogous with the notable $\beta$-decay of nuclei. Our theoretical results for decay widths are consistent with and about two times more precise than the latest measurements by ALICE and Belle collaborations. Together with experimental measurements, we independently determine the quark-mixing matrix element $|V_{cs}|$, which is found in good agreement with other determinations.

arXiv comment6+1 pages, 4 figures; v2: 7 pages, corrected typos

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• FLAG Review 2021
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• Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons
• ${\Lambda }_c\to {\Lambda }^{\ast }(1520)$ form factors from lattice QCD and improved analysis of the ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ and ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625)$ form factors
• ${\Lambda }_b\to p$ transition form factors in perturbative QCD
• Study of the Semileptonic Decay ${\Lambda }_c^{+}\to \Lambda e^{+}{\nu }_e$
• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review
• ${\Xi }_c-{\Xi }_c^{\prime }$ mixing From Lattice QCD
• A global analysis of charmless two body hadronic decays for anti-triplet charmed baryons
• First Observation of the Semileptonic Decay ${\Lambda }_c^{+}\to p{K}^{-}{e}^{+}{\nu }_e$
• Hidden-charm Hexaquarks from Lattice QCD
• Baryons in the light-front approach: The three-quark picture
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Heavy baryons in the relativized quark model with chromodynamics
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• First lattice QCD calculation of $J/\psi$ semileptonic decay containing $D$ and $D_s$ particles
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• Distance between various discretized fermion actions
• A novel method for searching the ${\Xi }_c^{0/+}$-${\Xi }_c^{\prime 0/+}$ mixing effect in the angular distribution analysis of a four-body ${\Xi }_c^{0/+}$ decay
• Measurement of ${\Omega }_{\mathrm{c}}^0$ baryon production and branching-fraction ratio $\mathrm{BR}({\mathrm{\Omega }}_{\mathrm{c}}^0\to {\mathrm{\Omega }}^{-}{\mathrm{e}}^{+}{\nu }_{\mathrm{e}})/\mathrm{BR}({\mathrm{\Omega }}_{\mathrm{c}}^0\to {\mathrm{\Omega }}^{-}{\pi }^{+})$ in pp collisions at $\sqrt{s}$ = 13 TeV
• Lattice QCD study of ${\Lambda }_c{\Lambda }_c$ scattering
• Semileptonic Decay of ${\Xi }_c\to \Xi {\ell }^{+}{\nu }_{\ell }$ From Light-Cone QCD Sum Rules
• Low-energy $DD$ scattering in lattice QCD
• Puzzles in charmed baryon semileptonic decays with $SU(3{)}_F$ flavor symmetry and lattice inputs
• Proton momentum and angular momentum decompositions with overlap fermions