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 ππ-scattering. 3) Chiral corrections to neutron-anti-neutron oscillations.
Highlights
3) Chiral corrections to neutron-anti-neutron oscillations. This talk presents a number of calculations done using Chiral Perturbation Theory (ChPT) that should be useful for lattice calculations
The second part is about the first full three-loop calculation in mesonic ChPT, the pion mass and decay constant in the twoflavour case [3]
The third part is about the construction of ChPT operators for neutron-antineutron oscillations and the one-loop calculation of chiral and finite volume corrections [4, 5]
Summary
This talk presents a number of calculations done using Chiral Perturbation Theory (ChPT) that should be useful for lattice calculations. The three parts that will be discussed are the vector-two-point function at two-loop order including partial quenching, twisting and finite volume. The third part is about the construction of ChPT operators for neutron-antineutron oscillations and the one-loop calculation of chiral and finite volume corrections [4, 5]. These three parts are independent of each other, the common ground is that they all use ChPT. An introduction to ChPT for lattice practitioners is [6]
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