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Novel |Vus| Determination Using Inclusive Strange τ Decay and Lattice Hadronic Vacuum Polarization Functions

Peter Boyle, Renwick James Hudspith, Taku Izubuchi, Andreas Jüttner, Christoph Lehner, Randy Lewis, Kim Maltman, Hiroshi Ohki, Antonin Portelli, and Matthew Spraggs (RBC and UKQCD Collaborations)
Phys. Rev. Lett. 121, 202003 – Published 16 November 2018
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Abstract

We propose and apply a new approach to determining |Vus| using dispersion relations with weight functions having poles at Euclidean (spacelike) momentum which relate strange hadronic τ decay distributions to hadronic vacuum polarization (HVP) functions obtained from lattice quantum chromodynamics. 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 |Vus| agrees well with determinations from K physics and three-family Cabibbo-Kobayashi-Maskawa unitarity. Advantages of this new approach over the conventional hadronic τ decay determination employing flavor-breaking sum rules are also discussed.

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  • Received 26 March 2018
  • Revised 24 July 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.202003

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Peter Boyle1, Renwick James Hudspith2, Taku Izubuchi3,4, Andreas Jüttner5, Christoph Lehner3, Randy Lewis2, Kim Maltman2,6, Hiroshi Ohki4,7, Antonin Portelli8, and Matthew Spraggs8 (RBC and UKQCD Collaborations)

  • 1SUPA, School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
  • 2York University, 4700 Keele Street, Toronto, Ontario, Canada M3J IP3
  • 3Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 4RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 5School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
  • 6CSSM, University of Adelaide, Adelaide, SA 5005 Australia
  • 7Physics Department, Nara Women’s University, Nara 630-8506, Japan
  • 8School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom

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Issue

Vol. 121, Iss. 20 — 16 November 2018

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