ChPT loops for the lattice: pion mass and decay constant, HVP at finite volume and $n\bar{n}$-oscillations

Abstract

I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in two-flavour ChPT. For the pion mass all needed auxiliary parameters can be determined from lattice calculations of $\pi \pi$-scattering. 3) Chiral corrections to neutron-anti-neutron oscillations.

8 pages, presented at Lattice 2017, the 35th International Symposium on Lattice Field Theory, Granada, Spain, 18-24 June 2017

References in corpus (8)

• Reduze - Feynman Integral Reduction in C++
• Mesonic low-energy constants
• Neutron-Antineutron Oscillations: Theoretical Status and Experimental Prospects
• Quark disconnected diagrams in chiral perturbation theory
• Leading Logarithms in the Massive O(N) Nonlinear Sigma Model
• The Massive O(N) Non-linear Sigma Model at High Orders
• Connected, Disconnected and Strange Quark Contributions to HVP
• Masses, Decay Constants and Electromagnetic Form-factors with Twisted Boundary Conditions