245 citations · 683 across the 7 of their papers we have counts for
7 papers
Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
Alan Kostelecky, Austin Pickering
Radiative corrections arising from Lorentz violation in the fermion sector induce a nonzero amplitude for vacuum photon splitting. At one loop, the on-shell amplitude acquires both…
Lorentz Violation at One Loop
Austin G. M. Pickering
The proof of one-loop renormalizability of the general Lorentz- and CPT-violating extension of quantum electrodynamics is described. Application of the renormalization-group method…
One-Loop Renormalization of Lorentz-Violating Electrodynamics
Alan Kostelecky, Charles Lane, Austin Pickering
We show that the general Lorentz- and CPT-violating extension of quantum electrodynamics is one-loop renormalizable. The one-loop Lorentz-violating beta functions are obtained, and…
Three loop gauge beta-function for the most general single gauge-coupling theory
A. G. M. Pickering, J. A. Gracey, D. R. T. Jones
We calculate the three loop contribution to the beta-function of the gauge coupling constant in a general, anomaly-free, renormalisable gauge field theory involving a single gauge…
The connection between the DRED and NSVZ renormalisation schemes
I. Jack, D. R. T. Jones, A. Pickering
We explore the relationship between the DRED and NSVZ schemes. Using certain exact results for the soft scalar mass -function, we derive the transformation of $α^{\DRED}$ to $α^…
The soft scalar mass -function
I. Jack, D. R. T. Jones, A. Pickering
We present an exact formula for the -function for the soft-breaking scalar mass in an N=1 supersymmetric gauge theory, in the form of an operator acting on the anomalous dimensi…
Renormalisation Invariance and the Soft -Functions
I. Jack, D. R. T. Jones, A. Pickering
We demonstrate that the soft supersymmetry-breaking terms in a N=1 theory can be linked by simple renormalisation group invariant relations which are valid to all orders of perturb…