# Lattice Input on the Inclusive $τ$ Decay $V_{us}$ Puzzle

P. A. Boyle, L. Del Debbio, N. Garron, R. J. Hudspith, E. Kerrane, K. Maltman, J. M. Zanotti

Research output: Contribution to journalArticlepeer-review

## Abstract

Recent analyses of flavor-breaking hadronic-$\tau$-decay-based sum rules produce values of $\vert V_{us}\vert$ $\sim 3\sigma$ low compared to 3-family unitarity expectations. An unresolved systematic issue is the significant variation in $\vert V_{us}\vert$ produced by different prescriptions for treating the slowly converging $D=2$ OPE series. We investigate the reliability of these prescriptions using lattice data for various flavor-breaking correlators and show the fixed-scale prescription is clearly preferred. Preliminary updates of the conventional $\tau$-based, and related mixed $\tau$-electroproduction-data-based, sum rule analyses incorporating B-factory results for low-multiplicity strange $\tau$ decay mode distributions are then performed. Use of the preferred FOPT $D=2$ OPE prescription is shown to significantly reduce the discrepancy between 3-family unitarity expectations and the sum rule results.
Original language English International Journal of Modern Physics: Conference Series 2013 https://doi.org/10.1142/S2010194514604414 Published - 18 Dec 2014 International Workshop on e+e- Collisions from Phi to Psi 2013 - Rome, ItalyDuration: 9 Sep 2013 → 12 Sep 2013

• hep-ph
• hep-ex
• hep-lat

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