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$Lambda_c to N$ form factors from lattice QCD and phenomenology of $Lambda_c to n ell^+ u_ell$ and $Lambda_c to p mu^+ mu^-$ decays

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 نشر من قبل Stefan Meinel
 تاريخ النشر 2017
  مجال البحث
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 تأليف Stefan Meinel




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A lattice QCD determination of the $Lambda_c to N$ vector, axial vector, and tensor form factors is reported. The calculation was performed with $2+1$ flavors of domain wall fermions at lattice spacings of $aapprox 0.11:{rm fm},:0.085:{rm fm}$ and pion masses in the range $230:{rm MeV} lesssim m_pi lesssim 350$ MeV. The form factors are extrapolated to the continuum limit and the physical pion mass using modified $z$ expansions. The rates of the charged-current decays $Lambda_c to n, e^+ u_e$ and $Lambda_c to n, mu^+ u_mu$ are predicted to be $left( 0.405 pm 0.016_{,rm stat} pm 0.020_{,rm syst} right)|V_{cd}|^2 :{rm ps}^{-1}$ and $left( 0.396 pm 0.016_{,rm stat} pm 0.020_{,rm syst} right)|V_{cd}|^2 :{rm ps}^{-1}$, respectively. The phenomenology of the rare charm decay $Lambda_c to p, mu^+ mu^-$ is also studied. The differential branching fraction, the fraction of longitudinally polarized dimuons, and the forward-backward asymmetry are calculated in the Standard Model and in an illustrative new-physics scenario.



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314 - Stefan Meinel 2016
The first lattice QCD calculation of the form factors governing $Lambda_c to Lambda ell^+ u_ell$ decays is reported. The calculation was performed with two different lattice spacings and includes one ensemble with a pion mass of 139(2) MeV. The resu lting predictions for the $Lambda_c to Lambda e^+ u_e$ and $Lambda_c to Lambda mu^+ u_mu$ decay rates divided by $|V_{cs}|^2$ are $0.2007(71)(74):{rm ps}^{-1}$ and $0.1945(69)(72):{rm ps}^{-1}$, respectively, where the two uncertainties are statistical and systematic. Taking the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cs}|$ from a global fit and the $Lambda_c$ lifetime from experiments, this translates to branching fractions of $mathcal{B}(Lambda_ctoLambda e^+ u_e)=0.0380(19)_{rm LQCD::}(11)_{tau_{Lambda_c}}$ and $mathcal{B}(Lambda_ctoLambda mu^+ u_mu)=0.0369(19)_{rm LQCD::}(11)_{tau_{Lambda_c}}$. These results are consistent with, and two times more precise than, the measurements performed recently by the BESIII Collaboration. Using instead the measured branching fractions together with the lattice calculation to determine the CKM matrix element gives $|V_{cs}|= 0.949(24)_{rm LQCD::}(14)_{tau_{Lambda_c}}(49)_{mathcal{B}}$.
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