Abstract
We perform an analysis of angular distributions in semileptonic decays of charmed baryons B_1^{(prime )}rightarrow B_2^{(prime )}(rightarrow B_3^{(prime )}B_4^{(prime )})ell ^+nu _{ell }, where the B_1{=}(Lambda _c^+,Xi _c^{(0,+)}) are the SU(3)-antitriplet baryons and B_1'{=}Omega _c^- is an SU(3) sextet. We will firstly derive analytic expressions for angular distributions using the helicity amplitude technique. Based on the lattice quantum chromodynamics (QCD) results for Lambda _c^+rightarrow Lambda and Xi _c^0rightarrow Xi ^- form factors and model calculation of the Omega _c^0rightarrow Omega ^- transition, we predict the branching fractions: {mathcal {B}}(Lambda _{c}^{+} rightarrow Lambda (rightarrow p pi ^{-}) e^{+} nu _{e})=2.48(15)%, {mathcal {B}}(Lambda _{c}^+rightarrow Lambda (rightarrow p pi ^{-})mu ^{+}nu _{mu })=2.50(14)%, {mathcal {B}}(Xi _{c}^0rightarrow Xi ^-(rightarrow Lambda pi ^{-})e^{+}nu _{e})=2.40(30)%, {mathcal {B}}(Xi _{c}^0rightarrow Xi ^-(rightarrow Lambda pi ^{-})mu ^{+}nu _{nu })=2.41(30)%, {mathcal {B}}(Omega _{c}^0rightarrow Omega ^-(rightarrow Lambda K^{-})e^{+}nu _{e})=!0.362(14)%, {mathcal {B}}(Omega _{c}^0rightarrow Omega ^-!(rightarrow Lambda K^{-})mu ^{+!}nu _{nu })=0.350(14)%. We also predict the q^2 dependence and angular distributions of these processes, in particular the coefficients for the cos ntheta _{ell } (cos ntheta _{h}, cos nphi ) (n=0, 1, 2, ldots ) terms. This work can provide a theoretical basis for the ongoing experiments at BESIII, LHCb, and BELLE-II.
Highlights
Weak decays of heavy baryons play an important role in testing the standard model (SM), in which any significant deviation from SM expectation would indirectly provide definitive clues for new physics beyond the SM
Most previous analysis has concentrated on the heavy meson sector, such as B and D meson decays [1–10], heavy baryon decays have recently received increasing attention by both experimental [11,13–17] and theoretical researchers [18–24]
A precise measurement of branching fractions of c weak decays was recently reported by the BESIII collaboration: B( c → e+νe) = 0.0363 and B( c → μ+νμ) = 0.0363 [37,38]
Summary
Weak decays of heavy baryons play an important role in testing the standard model (SM), in which any significant deviation from SM expectation would indirectly provide definitive clues for new physics beyond the SM. Maskawa (CKM) matrix elements which describe the quark mixing and strength of CP violation From this viewpoint, the study of semileptonic decays of charmed baryons, which can provide an ideal way to determine the |Vcd | and |Vcs|, and examine the CKM unitarity i=d,s,b |Vci |2 = 1, is of great value. Semileptonic decays are the simplest [31–33], and in recent years, charmed baryon decays have attracted great interest from both theoretical and experimental researchers [34–45]. A precise measurement of branching fractions of c weak decays was recently reported by the BESIII collaboration: B( c → e+νe) = 0.0363 and B( c → μ+νμ) = 0.0363 [37,38]. In theory, branching fractions of c weak decays are predicted in the light-front quark model: B(. We will explore decay widths for semileptonic decays of charmed baryons with the
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
