Shifts in the BCFW method for QED *

Abstract

We study the application of BCFW recursion relations to the QED process . Based on 6-point amplitudes (both MHVA and NMHVA) computed from Feynman diagrams in the Berends-Giele gauge, we conduct a comprehensive study on different shifts. Subsequently, we propose a new shift (LLYZ shift), which can lead to the full amplitudes of these processes and have several realistic computational advantages. We compare the number of terms and independent amplitudes of this novel shift with those of a few typical shifts.