Date of Completion

Fall 12-7-2020

Thesis Advisor(s)

Dr. Luchang Jin

Honors Major





We use the Infinite Volume Reconstruction Method to calculate the charged/neutral pion mass difference. The hadronic tensor is calculated on the lattice using a QCD+QED framework, and the mass shift is calculated with exponentially-suppressed finite volume errors. In this paper we discuss the Feynman diagrams relevant to the pion mass difference and we recapitulate the advantages of the Infinite Volume Reconstruction Method. We then discuss the extrapolation to the continuum limit, and report a charged/neutral pion mass difference of 4.52 MeV, which is within 1.44% of the accepted value.

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