Lattice Input on the Inclusive \(\tau\) Decay \(V_{us}\) Puzzle
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 prescription...
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| creator | Boyle, P A L Del Debbio Garron, N Hudspith, R J Kerrane, E Maltman, K Zanotti, J M |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1312.1716 |
| format | Article |
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| subjects | Breaking Correlators Decay Flavors Sum rules |
| title | Lattice Input on the Inclusive \(\tau\) Decay \(V_{us}\) Puzzle |
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