Version 1.0 · June 2026
MATChing HEFT Amplitudes
MATCHA is a Mathematica package designed to perform symbolic matching between ultraviolet (UV) theories and the Higgs Effective Field Theory (HEFT).
Authors: Raquel Gómez-Ambrosio and Carlos Quezada Calonge · carlosariel.quezadacalonge@unito.it
Description
MATCHA automates the workflow required to match UV models onto HEFT at LO using an amplitude-level approach. It generates UV diagrams, computes symbolic UV amplitudes, matches them to the corresponding HEFT structures, and extracts effective coefficients such as a_n, d_n and c_n up to any desired Higgs field order.
What MATCHA automates
- Generation of UV diagrams using FeynArts.
- Symbolic calculation of UV amplitudes using FormCalc.
- Matching UV amplitudes to the corresponding HEFT structures.
- Extraction of effective coefficients (
a_n,d_n, andc_n) to arbitrary Higgs order.
Workflow
Conceptual pipeline from a UV model to HEFT coefficients using MATCHA.
Input
UV model
Define field content and parameters.
Intermediate objects
FeynArts diagrams
Generate UV topologies and amplitudes.
FormCalc amplitudes
Compute symbolic UV amplitudes and simplify expressions.
HEFT matching equations
Map UV amplitudes onto HEFT structures and solve systems.
Output
HEFT coefficients
Extract effective coefficients to any Higgs order.