MATCHA: A Mathematica package for matching UV models onto HEFT

Abstract: We present MATChing HEFT Amplitudes (MATCHA), a Mathematica package designed for leading-order (LO) matching of an ultraviolet (UV) model to the Higgs Effective Field Theory (HEFT). MATCHA performs the matching of non-decoupling effects $\mathcal{O}(1)$ to the LO HEFT lagrangian for an arbitrary number of Higgs fields. The main benefit of \heftmatcha is that it is built on existing packages such as \texttt{FeynArts} and \texttt{FormCalc}, which are familiar to the user, and directly benefits from the established features of these packages. In addition, \heftmatcha is designed to require minimal input from the user, requiring solely the \texttt{FeynRules} output files and the desired order of expansion. In this way, \heftmatcha provides the leading low-energy couplings capturing non-decoupling effects of HEFT.