中文

$\texttt{SMaSH}$ : Simplify Massive Spinor Helicity

高能物理 - 理论 2026-06-26 v1 高能物理 - 唯象学 计算物理

摘要

We present SMaSH\texttt{SMaSH}, a Mathematica\texttt{Mathematica} package to do spinor helicity computations in four spacetime dimensions \href\href{https://github.com/aakash-kmr/SMaSH}{\text{(github)}}. It can handle massive spinor helicity computations with explicit little group indices which is a novel feature. It can also handle massless as well as off-shell spinor helicity variables. It is designed to compute perturbative computations; it comes with predefined three point amplitudes and propagators for any masses and spins (arXiv:1709.04891). It can implement the high energy limit over an expression, check the discrete C,P,T\tt{C,P,T} transformations, compute contact terms and impose gauge invariance for any scattering process. We have shown the usage of such functions for computing gauge invariant Weinberg minimal amplitudes (arXiv:2506:12431, arXiv:2504:06343). The package can also generate both real and complex numerical kinematics for any nn-point scattering for arbitrary masses and energy scales by implementing the RAMBO\tt{RAMBO} algorithm. It is also rich with basic spinor helicity manipulations like Schouten simplification, Clifford algebra manipulation, conversion between spinor helicity and Lorentz vectors, derivative w.r.t. spinors and their scalars, helicity scaling etc.

引用

@article{arxiv.2606.27928,
  title  = {$\texttt{SMaSH}$ : Simplify Massive Spinor Helicity},
  author = {Aakash Kumar and Arnab Rudra and Rahul Shaw},
  journal= {arXiv preprint arXiv:2606.27928},
  year   = {2026}
}

备注

136 pages, 1 figure. Mathematica files are included in the ancillary file. Github link for the package is https://github.com/aakash-kmr/SMaSH