Electroweak Radiative Corrections to Semileptonic Tau Decays

TL;DR

This paper updates the electroweak radiative correction factor for semileptonic tau decays, incorporating advanced resummation techniques, which impacts muon g-2 predictions and their consistency with experimental data.

Contribution

It provides a new calculation of the electroweak correction with next-to-leading order resummation, differing from previous results and affecting muon g-2 analyses.

Findings

Increased discrepancy between tau-based and e+e- based muon g-2 predictions.

Tau decay data-based g-2 prediction aligns better with BNL measurements.

The correction factor differs both qualitatively and quantitatively from prior work.

Abstract

I present an update on the electroweak radiative correction factor to semileptonic tau decays, including a next-to-leading order resummation of large logarithms. My result differs both qualitatively and quantitatively from the one recently obtained by Davier et al. As two consequences, (i) the discrepancy between the predictions for the muon g-2 based on tau decay data and electron-positron annihilation data increases, and (ii) the g-2 prediction based on tau decay data appears to be consistent (within about one standard deviation) with the experimental result from BNL.