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- W2986281313 abstract "Pion beta decay, $pi^+to pi^0 e^+nu(gamma)$, provides a theoretically clean $pm 0.3%$ determination of the CKM matrix element $V_{text{ud}}$. That value falls short of super-allowed nuclear beta decays where an order of magnitude better precision already exists. We advocate a new strategy for utilizing pion beta decay, based on its role in determining ${V_{text{us}} / V_{text{ud}}}$ via the ratio $R_V=Gammaleft(Kto pi l nu(gamma)right)/Gammaleft(pi^+to pi^0 e^+nu(gamma)right)$. $R_V$ measures $ { f_+^K(0) |V_{text{us}}| / f_+^pi(0) |V_{text{ud}}| }$ and is insensitive to the Fermi constant and some radiative corrections. Its dependence on the ratio of form factors may also prove useful for lattice gauge theory calculations. Employing a lattice based value ${ f_+^K(0) / f_+^pi(0) } = 0.970(2)$, we find $V_{text{us}}/V_{text{ud}}=0.22918(88)$ compared to $V_{text{us}}/V_{text{ud}}=0.23131(45)$ obtained from $R_A=Gamma(Kto munu(gamma))/Gamma(pito munu(gamma))$. Those vector and axial-vector based $V_{text{us}}/V_{text{ud}}$ values exhibit a 2.2$sigma$ discrepancy. That tension may be relieved by a shift in the lattice $ { f_+^K(0) / f_+^pi(0) } $ towards the consistency range 0.961(4), changes in experimental input or new physics. Other implications of $R_V$ and $R_A$ are also discussed." @default.
- W2986281313 created "2019-11-22" @default.
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- W2986281313 date "2019-11-12" @default.
- W2986281313 modified "2023-09-27" @default.
- W2986281313 title "Pion Beta Decay and CKM Unitarity" @default.
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