# Measurement of the running of the fine structure constant below 1 GeV with the KLOE detector

## TL;DR

This paper reports a precise measurement of the running of the fine structure constant below 1 GeV using the KLOE detector, confirming the hadronic contribution with high significance and extracting the $
ho-\omega$ resonance effects.

## Contribution

It provides the first high-significance measurement of the hadronic contribution to the running of $ extalpha(s)$ in the 0.6 to 0.975 GeV range, including the $
ho-\omega$ resonance effects.

## Key findings

- Hadronic contribution to $ extalpha(s)$ confirmed with >5$\sigma$ significance.
- Measured the $
ho-\omega$ resonance contribution to the photon propagator.
- Extracted the branching fraction $BR( extomega
ightarrow extmu^+ extmu^-)$ as (6.6±1.4±1.7)×10$^{-5}$.

## Abstract

The precision measurement of the $d\sigma(e^+e^- \rightarrow \mu^+\mu^- \gamma)/d\sqrt{s}$ cross section with the photon emitted in the initial state with the KLOE detector has been used to measure the running of the QED coupling constant $\alpha(s)$ in the energy range 0.6 $< \sqrt{s} <$ 0.975 GeV in the time-like region. We were able to achieve a significance of the hadronic contribution to the running of $\alpha(s)$ of more than 5$\sigma$ with a clear contribution of the $\rho - \omega$ resonances to the photon propagator. The real and imaginary part of the shift $\Delta\alpha$ to the running has been estracted and a fit of the real part allowed us to measure the branching fraction $BR(\omega \rightarrow \mu^+\mu^-)$ = (6.6$\pm$1.4$_{stat}$$\pm$1.7$_{syst}$ )$\cdot$10$^{-5}$.