Lattice input on the inclusive flavor-breaking $\tau$ V$_{us}$ puzzle
ORAL
Abstract
Recent versions of the standard approach to implementing the flavor-breaking finite-energy sum rule determination of V$_{us}$ using spectral data obtained from hadronic tau decays produce values of V$_{us}$ more than 3 sigma low relative to the expectations of 3-family unitarity. We revisit this problem, focusing on systematic issues in the treatment of OPE contributions, employing lattice data for the relevant flavor-breaking correlator combinination to help in understanding how to treat the slowly converging D=2 series and investigate potential D $>$ 4 non-perturbative contributions. The results, in combination with observations from additional flavor-breaking continuum sum rules, are shown to suggest an alternate implementation of the flavor-breaking sum rule approach. This alternate analysis approach is shown to produce significantly higher V$_{us}$ than obtained using the assumptions of the conventional implementation, for reasons that will be explained in detail. We also show that, when this approach is implemented using new preliminary results for the tau K pi branching fractions, the V$_{us}$ obtained is in excellent agreement with that obtained from recent analyses of K$_{ell 3}$ using lattice input for f$_+$(0).
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Authors
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Kim Maltman
York University
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Renwick Hudspith
York University
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Randy Lewis
York University
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Carl Wolfe
York University
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James Zanotti
University of Adelaide