#### Title

Lattice calculation of the hadronic light-by-light contribution to the anomalous magnetic dipole moment of muon

#### Date of Completion

January 2009

#### Keywords

Physics, Theory|Physics, Elementary Particles and High Energy

#### Degree

Ph.D.

#### Abstract

The anomalous magnetic dipole moment of the muon, g-2, has been measured with great accuracy at Brookhaven National Lab. The Standard Model theory prediction for the muon g-2 is of comparable accuracy. However, a small discrepancy remains between the Standard Model prediction and the measured quantity, which may suggest possible new physics. The discrepancy is dominated by hadronic corrections, the O (α^{2}) hadronic vacuum polarization and O (α^{3}) hadronic light-by-light contributions. We report on a first calculation of the light-by-light contribution in full (QED+QCD) numerical simulations. We use domain wall fermions with quenched non-compact QED configurations and 2 + 1 flavor domain wall fermion plus Iwasaki gauge action QCD configurations. The results presented here consist of three non-perturbative lattice gauge theory calculations, in order of increasing difficulty: the lowest order Schwinger term which is well known in perturbation theory, the light-by-light term in pure QED which is also well known perturbatively, and finally, the full hadronic light-by-light contribution. The first two calculations address systematic uncertainties in QED lattice calculations as well as a first test of our method for computing the light-by-light term. In the latter case, we do not find a statistically significant result, but consider improved methods to achieve one with next generation computer resources. ^

#### Recommended Citation

Chowdhury, Saumitra Kumar, "Lattice calculation of the hadronic light-by-light contribution to the anomalous magnetic dipole moment of muon" (2009). *Doctoral Dissertations*. AAI3388411.

https://opencommons.uconn.edu/dissertations/AAI3388411