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A resolution of the puzzle of low Vus values from inclusive flavor-breaking sum rule analyses of hadronic tau decay

2015/11/26 by Renwick J. Hudspith, R. J. Hudspith, Hudspith, R. J. +12
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-lat #hep-ph

paper · pdf · doi:10.48550/arxiv.1511.08514

6 pages, 4 figures. Prepared for the Proceedings of the PhiPsi15, Sep. 23-26, 2015, Hefei, China. arXiv admin note: text overlap with arXiv:1510.06954

arxiv created 2015/11/26 · openalex publication_date 2015/11/26 · arxiv updated 2015/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Continuum and lattice methods are used to investigate systematic issues in the sum rule determination of Vus using inclusive hadronic τ decay data. Results for Vus employing assumptions for D>4 OPE contributions used in previous conventional implementations of this approach are shown to display unphysical dependence on the sum rule weight, w, and choice of upper limit, s0, of the relevant experimental spectral integrals. Continuum and lattice results suggest a new implementation of the sum rule approach with not just \vert Vus\vert, but also D>4 effective condensates, fit to data. Lattice results are also shown to provide a quantitative assessment of truncation uncertainties for the slowly converging D=2 OPE series. The new sum rule implementation yields \vert Vus\vert results free of unphysical s0- and w-dependences and ∼ 0.0020 higher than that obtained using the conventional implementation. With preliminary new experimental results for the Kπ branching fraction, the resulting \vert Vus\vert is in excellent agreement with that based on Kℓ 3, and compatible within errors with expectations from three-family unitarity.

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