# The hadronic contribution to the running of the electromagnetic coupling and the electroweak mixing angle

@article{C2020TheHC, title={The hadronic contribution to the running of the electromagnetic coupling and the electroweak mixing angle}, author={M. C{\`e} and T. San Jos'e and Antoine G'erardin and Harvey B. Meyer and Kohtaroh Miura and K. Ottnad and Andreas Risch and Jonas Wilhelm and H. Wittig}, journal={arXiv: High Energy Physics - Lattice}, year={2020} }

The electromagnetic coupling $\alpha$ and the electroweak mixing angle $\theta_{\mathrm{W}}$ are parameters of the Standard Model (SM) that enter precision SM tests and play a fundamental r\^ole in beyond SM physics searches. Their values are energy dependent, and non-perturbative hadronic contributions are the main source of uncertainty to the theoretical knowledge of the running with energy. We present a lattice study of the leading hadronic contribution to the running of $\alpha$ and $\sin^2… Expand

#### 6 Citations

The anomalous magnetic moment of the muon in the Standard Model

- Physics
- 2020

We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant $\alpha$ and… Expand

Recent Developments of Muon g-2 from Lattice QCD

- Physics
- 2020

One of the most promising quantities for the search of signatures of physics beyond the Standard Model is the anomalous magnetic moment $g-2$ of the muon, where a comparison of the experimental… Expand

Flavor-dependent radiative corrections in coherent elastic neutrino-nucleus scattering

- Physics
- 2020

We calculate coherent elastic neutrino-nucleus scattering cross sections on spin-0 nuclei (e.g. $^{40}$Ar and $^{28}$Si) at energies below 100 MeV within the Standard Model and account for all… Expand

TASI 2020 Lectures on Precision Tests of the Standard Model

- Physics
- 2020

This write-up of lectures given at TASI 2020 provides an introduction into precision tests of the electroweak Standard Model. The lecture notes begin with a hands-on review of the (on-shell)… Expand

Interactions of two and three mesons including higher partial waves from lattice QCD

- Physics
- Journal of High Energy Physics
- 2021

Abstract
We study two- and three-meson systems composed either of pions or kaons at maximal isospin using Monte Carlo simulations of lattice QCD. Utilizing the stochastic LapH method, we are able to… Expand

Muon
g−2
and
Δα
connection

- Physics
- 2020

The discrepancy between the Standard Model prediction and experimental measurement of the muon magnetic moment anomaly, $a_{\mu}=\left(g_{\mu}-2\right)/2$, is connected to precision electroweak (EW)… Expand

#### References

SHOWING 1-10 OF 81 REFERENCES

The leading hadronic contribution to the running of the Weinberg angle using covariant coordinate-space methods

- Physics
- Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
- 2019

We present a preliminary study of the leading hadronic contribution to the running of the Weinberg angle $\theta_{\mathrm{W}}$. The running is extracted from the correlation function of the… Expand

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

- Physics
- 2017

A bstractWe present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, aμhvp, in lattice QCD employing dynamical up and down quarks. We focus on… Expand

Electroweak effective couplings for future precision experiments

- Physics
- 2011

The leading hadronic effects in electroweak theory derive from vacuum polarization which are non-perturbative hadronic contributions to the running of the gauge couplings, the electromagnetic… Expand

Leading hadronic contribution to
(g−2)μ
from lattice QCD with
Nf=2+1
flavors of
O(a)
improved Wilson quarks

- Physics
- Physical Review D
- 2019

The comparison of the theoretical and experimental determinations of the anomalous magnetic moment of the muon $(g-2)_\mu$ constitutes one of the strongest tests of the Standard Model at low… Expand

Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles.

- Physics, Medicine
- Physical review letters
- 2018

The leading, strong-interaction contribution to the anomalous magnetic moment of the electron, muon, and tau is computed using lattice quantum chromodynamics (QCD) simulations using six lattice spacings. Expand

Measuring the leading hadronic contribution to the muon g-2 via $$\mu e$$μe scattering

- Physics
- 2016

We propose a new experiment to measure the running of the electromagnetic coupling constant in the space-like region by scattering high-energy muons on atomic electrons of a low-Z target through the… Expand

Nonperturbative renormalization and
O(a)
-improvement of the nonsinglet vector current with
Nf=2+1
Wilson fermions and tree-level Symanzik improved gauge action

- Physics
- Physical Review D
- 2019

In calculating hadronic contributions to precision observables for tests of the Standard Model in lattice QCD, the electromagnetic current plays a central role. Using a Wilson action with O($a$)… Expand

Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarization

- Physics
- 2020

We study isospin-1 P-wave $\pi\pi$ scattering in lattice QCD with two flavours of O($a$) improved Wilson fermions. For pion masses ranging from $m_\pi=265$ MeV to $m_\pi=437$ MeV, we determine the… Expand

Lattice QCD and the anomalous magnetic moment of the muon

- Physics
- Progress in Particle and Nuclear Physics
- 2019

The anomalous magnetic moment of the muon, a_mu, has been measured with an overall precision of 540 ppb by the E821 experiment at BNL. Since the publication of this result in 2004 there has been a… Expand

Hadronic contributions to electroweak parameter shifts

- Physics
- 1986

AbstractUsinge+e−-data, an updated analysis of hadronic contributions to electroweak parameter renormalizations is presented. We emphasize the estimate of uncertainties which is important for… Expand