The 39th International Symposium on Lattice Field Theory (Lattice 2022)

The hadronic running of the electromagnetic coupling and electroweak mixing angle (Part II)

9 Aug 2022, 17:50

20m

CP1-HSZ/0.001 (CP1-HSZ) - HS3 (CP1-HSZ)

Oral Presentation QCD in searches for physics beyond the Standard Model QCD in searches for physics beyond the Standard Model

Speakers

Hartmut Wittig Miguel Teseo San José Pérez (IJCLab)

Description

We discuss the conversion of our lattice result for the hadronic running of the electromagnetic coupling, $\mathrm{\Delta }\alpha (-Q^2)$, computed for Euclidean momenta into an estimate for $\mathrm{\Delta }{\alpha }_{\mathrm{h}\mathrm{a}\mathrm{d}}^{(5)}(M_Z^2)$ using the Euclidean split technique (Adler function approach). We focus specifically on the running in the spacelike regime from momentum scales below $7\mathrm{G}\mathrm{e}{\mathrm{V}}^2$ up to $M_Z^2$, which can be determined either in perturbative QCD or by using dispersion theory and experimentally determined hadronic cross sections. A detailed comparison with results from other lattice calculations and phenomenology is performed. We present an in-depth discussion of the relation to lattice estimates of the hadronic vacuum polarisation contribution to the muon $g-2$ and the implications for global electroweak fits.

Presentation materials

wittig_lat22.pdf