SU(3) symmetry and its breaking effects in semileptonic heavy baryon decays

Abstract

We employ the flavor SU(3) symmetry to analyze semileptonic decays of anti-triplet charmed baryons (${\Lambda }_c^{+},{\Xi }_c^{+,0}$) and find that the experimental data on $\mathcal{B}({\Lambda }_c\to \Lambda {\ell }^{+}{\nu }_{\ell })$ implies $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{e}^{+}{\nu }_e)=(4.10\pm 0.46)\%$ and $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{\mu }^{+}{\nu }_{\mu })=(3.98\pm 0.57)\%$. When this prediction is confronted with recent experimental results from Belle collaboration $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{e}^{+}{\nu }_e)=1.31(04\pm 07\pm 38)\%$ and $\mathcal{B}({\Xi }_c^0\to {\Xi }^{-}{\mu }^{+}{\nu }_{\mu })=1.27(06\pm 10\pm 37)\%$, it is found that the SU(3) symmetry is severely broken. We then consider the generic SU(3) breaking effects in these decays and find that the data can be accommodated in different scenarios but the breaking effects are inevitably large. In some interesting scenarios, we also explore the testable implications in these scenarios which can be tested with more data become available. Similar analyses are carried out for semileptonic anti-triplet beauty baryon to octet baryons and anti-triplet charmed baryons. The validity of SU(3) for these decays can also be examined when data become available.

arXiv comment11 pages, 2 figures and 7 tables

References in corpus (24)

• Future Physics Programme of BESIII
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• Broken SU(3) Symmetry in Two-Body B Decays
• Test Flavor SU(3) symmetry in Exclusive ${\Lambda }_c$ decays
• Weak Decays of Heavy Baryons in Light-Front Approach
• Updating B --> PP, VP decays in the framework of flavor symmetry
• Anti-triplet charmed baryon decays with SU(3) Flavor Symmetry
• Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3{)}_F$ breaking
• ${\Lambda }_c\to \Lambda {\ell }^{+}{\nu }_{\ell }$ form factors and decay rates from lattice QCD with physical quark masses
• ${\Lambda }_c\to N$ form factors from lattice QCD and phenomenology of ${\Lambda }_c\to n{\ell }^{+}{\nu }_{\ell }$ and ${\Lambda }_c\to p{\mu }^{+}{\mu }^{-}$ decays
• Weak decays of doubly heavy baryons: the $1/2\to 3/2$ case
• Measurement of the Absolute Branching Fraction for ${\Lambda }_c^{+}\to \Lambda {\mu }^{+}{\nu }_{\mu }$
• Semileptonic decays of anti-triplet charmed baryons
• Analysis of Charmless Two-body B decays in Factorization Assisted Topological Amplitude Approach
• Light cone QCD sum rules study of the semileptonic heavy ${\Xi }_Q$ and ${\Xi }_Q^{\prime }$ transitions to $\Xi$ and $\Sigma$ baryons
• Factorization of Heavy-to-Light Baryonic Transitions in SCET
• First measurements of absolute branching fractions of ${\Xi }_c^0$ at Belle
• SU(3) symmetry breaking in charmed baryon decays
• Singly Cabibbo suppressed decays of ${\Lambda }_c^{+}$ with SU(3) flavor symmetry
• Predictive $CP$ Violating Relations for Charmless Two-body Decays of Beauty Baryons ${\Xi }_b^{-,0}$ and ${\Lambda }_b^0$ With Flavor $SU(3)$ Symmetry
• Semileptonic decays of ${\Lambda }_c$ baryons in the relativistic quark model
• Analysis of the semileptonic decay Λ_c->ne^+ν_e
• Semileptonic ${\Xi }_c$ baryon decays in the light cone QCD sum rules

Cited by in corpus (9)

• Anatomy of ${\Lambda }_c^{+}$ semileptonic decays
• Nonleptonic decays of ${\Xi }_{cc}\to {\Xi }_c\pi$ with ${\Xi }_c-{\Xi }_c^{\prime }$ mixing
• Generation of $SU(3)$ sum rule for charmed baryon decay
• The Production of Singly Charmed Pentaquark $\bar{c}qqqq$ from Bottom Baryon
• Rare radiative decays of charm baryons
• Generation of isospin sum rules in heavy hadron weak decays
• 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
• Isospin sum rules in charmed baryon weak decays
• Semileptonic Decay of ${\Xi }_c\to \Xi {\ell }^{+}{\nu }_{\ell }$ From Light-Cone QCD Sum Rules