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We present the first continuum extrapolation of the hyperon octet axialcouplings ($g_{\Sigma \Sigma}$ and $g_{\Xi \Xi}$) from $N_f=2+1+1$ lattice QCD.These couplings are important parameters in the low-energy effective fieldtheory description of the octet baryons and fundamental to the nonleptonicdecays of hyperons and to hyperon-hyperon and hyperon-nucleon scattering withapplication to neutron stars. We use clover lattice fermion action for thevalence quarks with sea quarks coming from configurations of $N_f=2+1+1$ highlyimproved staggered quarks (HISQ) generated by MILC Collaboration. Our workincludes the first calculation of $g_{\Sigma \Sigma}$ and $g_{\Xi \Xi}$directly at the physical pion mass on the lattice, and a full account ofsystematic uncertainty, including excited-state contamination, finite-volumeeffects and continuum extrapolation, all addressed for the first time. We findthe continuum-limit hyperon coupling constants to be $g_{\Sigma\Sigma}=0.4455(55)_\text{stat}(65)_\text{sys}$ and $g_{\Xi \Xi}=-0.2703(47)_\text{stat}(13)_\text{sys}$, which correspond to low-energyconstants of $D = 0.708(10)_\text{stat}(6)_\text{sys}$ and $F =0.438(7)_\text{stat}(6)_\text{sys}$. The corresponding SU(3) symmetry breakingis 9\% which is about a factor of 2 smaller than the earlier lattice estimate.

Lattice-QCD Determination of the Hyperon Axial Couplings in the Continuum Limit