Shifts in BCFW method for QED
Ke Li, Yuxin Liu, Qi-Shu Yan, Xiaoran Zhao
TL;DR
This paper explores the application of BCFW recursion relations to QED processes, introduces a new shift (LLYZ shift) that simplifies calculations, and compares its efficiency with existing shifts.
Contribution
The paper proposes a novel LLYZ shift for BCFW recursion in QED, improving computational efficiency and completeness of amplitude calculations.
Findings
The LLYZ shift can generate full amplitudes for QED processes.
It reduces the number of terms compared to traditional shifts.
It offers practical advantages in amplitude computations.
Abstract
We study the application of BCFW recursion relations to the QED processes . Based on 6-point amplitudes (both MHVA and NMHVA) computed from Feynman diagrams in the Berends-Giele gauge, we conduct a comprehensive study on all different shifts. Then we propose a new shift (LLYZ shift) which can lead to the full amplitudes for these processes and can have some realistic computation advantages. We compare the number of terms and the independent amplitudes of this novel shift with a few typical shifts.
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