Lattice Input on the Inclusive $\tau$ Decay $V_{us}$ Puzzle
| Title: | Lattice Input on the Inclusive $\tau$ Decay $V_{us}$ Puzzle |
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| Authors: | Boyle, P. A., Del Debbio, L., Garron, N., Hudspith, R. J., Kerrane, E., Maltman, K., Zanotti, J. M. |
| Publication Year: | 2013 |
| Collection: | High Energy Physics - Experiment High Energy Physics - Lattice High Energy Physics - Phenomenology |
| Subject Terms: | High Energy Physics - Phenomenology, High Energy Physics - Experiment, High Energy Physics - Lattice |
| More Details: | 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. Comment: 5 pages, 2 figures. Contribution to the proceedings of the International Workshop on e^+ e^- Collisions from Phi to Psi, 2013 |
| Document Type: | Working Paper |
| DOI: | 10.1142/S2010194514604414 |
| Access URL: | http://arxiv.org/abs/1312.1716 |
| Accession Number: | edsarx.1312.1716 |
| Database: | arXiv |
| DOI: | 10.1142/S2010194514604414 |
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