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Novel |V_{us}| Determination Using Inclusive Strange τ Decay and Lattice Hadronic Vacuum Polarization Functions.

Peter Boyle¹, Renwick James Hudspith², Taku Izubuchi^3,4

¹SUPA, School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom.

Physical Review Letters

|December 1, 2018

Summary

This study introduces a novel method for calculating the CKM matrix element |V_{us}| using tau decay data and lattice QCD. The new approach offers accurate |V_{us}| determination, consistent with K physics and unitarity.

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Area of Science:

Particle Physics
Quantum Chromodynamics
Hadronic Physics

Background:

Determining the CKM matrix element |V_{us}| is crucial for testing the Standard Model.
Current methods using hadronic tau decays have limitations due to experimental uncertainties.

Purpose of the Study:

To develop and apply a new approach for calculating |V_{us}|.
To relate strange hadronic tau decay distributions to lattice quantum chromodynamics (LQCD) calculations.

Main Methods:

Utilizing dispersion relations with specific weight functions.
Connecting tau decay data with hadronic vacuum polarization (HVP) functions from LQCD.
Suppressing contributions from regions with large experimental errors or missing data.

Main Results:

Accurate determination of relevant lattice HVP combinations is possible.
The calculated |V_{us}| value shows good agreement with results from K meson decays.
|V_{us}| determination is consistent with three-family Cabibbo-Kobayashi-Maskawa unitarity.

Conclusions:

The proposed method provides a robust alternative for |V_{us}| determination.
This approach overcomes limitations of conventional methods relying on flavor-breaking sum rules.
The consistency with other measurements strengthens confidence in the Standard Model.