Wave functions fixed from a mass-spectrum fit in the relativistic three-quark model are used to compute branching fractions, LFU ratios, and the complete set of octet hyperon semileptonic transition form factors without extra parameters, agreeing with data and lattice results where available.
SU(3) breaking in hyperon transition vector form factors
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abstract
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 regularisation. Both octet and decuplet degrees of freedom are included. We formulate a chiral expansion at the kinematic point $Q^2=-(M_{B_1}-M_{B_2})^2$, 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 $\Sigma^-\rightarrow n$ and $\Xi^0\rightarrow \Sigma^+$ transition form factors. Hence we determine lattice-informed values of $f_1$ at the physical point. This work constitutes progress towards the precise determination of $|V_{us}|$ from hyperon semileptonic decays.
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Unified study of hyperon semileptonic decays in a relativistic three-quark model
Wave functions fixed from a mass-spectrum fit in the relativistic three-quark model are used to compute branching fractions, LFU ratios, and the complete set of octet hyperon semileptonic transition form factors without extra parameters, agreeing with data and lattice results where available.
- Scalar and Tensor Form Factors for $\Lambda \rightarrow p\ell \bar{\nu}_\ell$ from Lattice QCD