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arXiv · 2412.09463

Counting and building operators in theories with hidden symmetries and application to HEFT

Rodrigo Alonso·Shakeel Ur Rahaman
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Abstract

Identifying a full basis of operators to a given order is key to the generality of Effective Field Theory (EFT) and is by now a problem of known solution in terms of the Hilbert series. The present work is concerned with hidden symmetry in general and Higgs EFT in particular and {\it(i)} connects the counting formula presented in [1] in the CCWZ formulation with the linear frame and makes this connection explicit in HEFT {\it (ii)} outlines the differences in perturbation theory in each frame {\it (iii)} presents a new counting formula with measure in the full $SU(3)\times SU(2)\times U(1)$ group for HEFT and {\it (iv)} provides a Mathematica code that produces the number of operators at the user-specified order in HEFT.

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Rodrigo Alonso, Shakeel Ur Rahaman. 2024-12-12. Counting and building operators in theories with hidden symmetries and application to HEFT. https://arxiv.org/abs/2412.09463

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