The hadronic running of the electroweak couplings from lattice QCD - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2022

The hadronic running of the electroweak couplings from lattice QCD

Marco Cè
  • Fonction : Auteur
Georg von Hippel
  • Fonction : Auteur
Harvey B. Meyer
  • Fonction : Auteur
Kohtaroh Miura
  • Fonction : Auteur
Konstantin Ottnad
  • Fonction : Auteur
Andreas Risch
  • Fonction : Auteur
Hartmut Wittig
  • Fonction : Auteur

Résumé

The energy dependency (running) of the strength of electromagnetic interactions $\alpha$ plays an important role in precision tests of the SM. The running of the former to the $Z$ pole is an input quantity for global electroweak fits, while the running of the mixing angle is susceptible to the effects of BSM physics, particularly at low energies. We present a computation of the hadronic vacuum polarization (HVP) contribution to the running of these electroweak couplings at the non-perturbative level in lattice QCD, in the space-like regime up to $Q^2$ momentum transfers of $7\,\mathrm{GeV}^2$. This quantity is also closely related to the HVP contribution to the muon $g-2$. We observe a tension of up to $3.5$ standard deviation between our lattice results for $\Delta\alpha^{(5)}_{\mathrm{had}}(-Q^2)$ and estimates based on the $R$-ratio for $Q^2$ in the $3$ to $7\,\mathrm{GeV}^2$ range. The tension is, however, strongly diminished when translating our result to the $Z$ pole, by employing the Euclidean split technique and perturbative QCD, which yields $\Delta\alpha^{(5)}_{\mathrm{had}}(M_Z^2)=0.027\,73(15)$. This value agrees with results based on the $R$-ratio within the quoted uncertainties, and can be used as an alternative to the latter in global electroweak fits.

Dates et versions

hal-03885868 , version 1 (06-12-2022)

Identifiants

Citer

Marco Cè, Antoine Gérardin, Georg von Hippel, Harvey B. Meyer, Kohtaroh Miura, et al.. The hadronic running of the electroweak couplings from lattice QCD. 41st International Conference on High Energy Physics, Jul 2022, Bologna, Italy. pp.823, ⟨10.22323/1.414.0823⟩. ⟨hal-03885868⟩
18 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More