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We present a calculation of the leptonic decay-constant ratio $f_K/f_\pi$ in2+1 flavor QCD. Our data set includes five lattice spacings and pion massesreaching down below the physical one. Special emphasis is placed on a carefulstudy of all systematic uncertainties, especially the continuum extrapolation.Our result is perfectly compatible with the first-row unitarity constraint ofthe Standard Model.

Leptonic decay-constant ratio $f_K/f_\pi$ from lattice QCD using 2+1 clover-improved fermion flavors with 2-HEX smearing