SU(3) breaking in hyperon transition vector form factors

SU(3) breaking in hyperon transition vector form factors
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SU(3) 打破超子跃迁矢量形状因子

DOI:
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发表时间:
2015
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通讯作者:
J. Zanotti
J. Zanotti
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作者:
P. Shanahan;A. Cooke;R. Horsley;Y. Nakamura;P. Rakow;G. Schierholz;A. Thomas;R. Young;J. Zanotti

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We present a calculation of the SU(3)-breaking corrections to the hyperon transition vector form factors to $mathcal{O}({p}^{4})$ in heavy-baryon chiral perturbation theory with finite-range regularization. Both octet and decuplet degrees of freedom are included. We formulate a chiral expansion at the kinematic point ${Q}^{2}=ensuremath{-}({M}_{{B}_{1}}ensuremath{-}{M}_{{B}_{2}}{)}^{2}$, which can be conveniently accessed in lattice QCD. The two unknown low-energy constants at this point are constrained by lattice QCD simulation results for the ${mathrm{ensuremath{Sigma}}}^{ensuremath{-}}ensuremath{ ightarrow}n$ and ${mathrm{ensuremath{Xi}}}^{0}ensuremath{ ightarrow}{mathrm{ensuremath{Sigma}}}^{+}$ transition form factors. Hence, we determine lattice-informed values of ${f}_{1}$ at the physical point. This work constitutes progress toward the precise determination of $|{V}_{us}|$ from hyperon semileptonic decays.
We present a calculation of the SU(3)-breaking corrections to the hyperon transition vector form factors to $mathcal{O}({p}^{4})$ in heavy-baryon chiral perturbation theory with finite-range regularization. Both octet and decuplet degrees of freedom are included. We formulate a chiral expansion at the kinematic point ${Q}^{2}=ensuremath{-}({M}_{{B}_{1}}ensuremath{-}{M}_{{B}_{2}}{)}^{2}$, which can be conveniently accessed in lattice QCD. The two unknown low-energy constants at this point are constrained by lattice QCD simulation results for the ${mathrm{ensuremath{Sigma}}}^{ensuremath{-}}ensuremath{ ightarrow}n$ and ${mathrm{ensuremath{Xi}}}^{0}ensuremath{ ightarrow}{mathrm{ensuremath{Sigma}}}^{+}$ transition form factors. Hence, we determine lattice-informed values of ${f}_{1}$ at the physical point. This work constitutes progress toward the precise determination of $|{V}_{us}|$ from hyperon semileptonic decays.