Novel \(|V_{us}|\) Determination Using Inclusive Strange \(\tau\) Decay and Lattice HVPs

We propose and apply a new approach to determining \(|V_{us}|\) using dispersion relations with weight functions having poles at Euclidean (space-like) momentum which relate strange hadronic \(\tau\) decay distributions to hadronic vacuum polarization functions (HVPs) obtained from lattice QCD. We s...

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Bibliographic Details
Published in:arXiv.org 2018-11
Main Authors: Boyle, Peter, Renwick James Hudspith, Izubuchi, Taku, Jüttner, Andreas, Lehner, Christoph, Lewis, Randy, Maltman, Kim, Ohki, Hiroshi, Portelli, Antonin, Spraggs, Matthew
Format: Article
Language:English
Subjects:
Decay
Euclidean geometry
Quantum chromodynamics
Sum rules
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Summary:We propose and apply a new approach to determining \(|V_{us}|\) using dispersion relations with weight functions having poles at Euclidean (space-like) momentum which relate strange hadronic \(\tau\) decay distributions to hadronic vacuum polarization functions (HVPs) obtained from lattice QCD. We show examples where spectral integral contributions from the region where experimental data have large errors or do not exist are strongly suppressed but accurate determinations of the relevant lattice HVP combinations remain possible. The resulting \(|V_{us}|\) agrees well with determinations from \(K\) physics and 3-family CKM unitarity. Advantages of this new approach over the conventional hadronic \(\tau\) decay determination employing flavor-breaking sum rules are also discussed.
ISSN:2331-8422