Novel Determination Using Inclusive Strange Decay and Lattice Hadronic Vacuum Polarization Functions
Peter Boyle (SUPA, School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom); Renwick James Hudspith (York University, 4700 Keele Street, Toronto, Ontario, Canada M3J IP3); Taku Izubuchi (Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA, RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA); Andreas Jüttner (School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom); Christoph Lehner (Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA); et al - Show all 10 authors
We propose and apply a new approach to determining using dispersion relations with weight functions having poles at Euclidean (spacelike) momentum which relate strange hadronic 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 agrees well with determinations from physics and three-family Cabibbo-Kobayashi-Maskawa unitarity. Advantages of this new approach over the conventional hadronic decay determination employing flavor-breaking sum rules are also discussed.
