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.

6+1 pages, 4 figures; v2: 7 pages, corrected typos

References in corpus (9)

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• ${\Lambda }_c\to \Lambda {\ell }^{+}{\nu }_{\ell }$ form factors and decay rates from lattice QCD with physical quark masses
• Semileptonic decays of anti-triplet charmed baryons
• Precision measurement of the mass and lifetime of the ${\Xi }_b^0$ baryon
• Search for $CP$ violation in ${\Xi }_c^{+}\to p{K}^{-}{\pi }^{+}$ decays using model-independent techniques
• First branching fraction measurement of the suppressed decay ${\Xi }_c^0\to {\pi }^{-}{\Lambda }_c^{+}$
• Light-cone QCD sum rule approach for the $\Xi$ baryon electromagnetic form factors and the semileptonic decay Xi_c->Xi e^+nu_e
• Observation of the doubly Cabibbo-suppressed decay ${\Xi }_c^{+}\to p\varphi$

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• ${\Lambda }_b\to p$ 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
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• A global analysis of charmless two body hadronic decays for anti-triplet charmed baryons
• First Observation of the Semileptonic Decay ${\Lambda }_c^{+}\to p{K}^{-}{e}^{+}{\nu }_e$
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• Heavy baryons in the relativized quark model with chromodynamics
• Improved method to determine the ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• First lattice QCD calculation of $J/\psi$ semileptonic decay containing $D$ and $D_s$ particles
• ${\Xi }_c\to \Xi$ form factors from lattice QCD with domain-wall quarks: A new piece in the puzzle of ${\Xi }_c^0$ decay rates
• 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
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• Low-energy $DD$ scattering in lattice QCD
• Puzzles in charmed baryon semileptonic decays with $SU(3{)}_F$ flavor symmetry and lattice inputs
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