TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.6.185
TI  - Efficient on-shell matching
PY  - 2025/06/11
UR  - https://scipost.org/SciPostPhys.18.6.185
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 6
SP  - 185
A1  - Chala, Mikael
AU  - Miras, Javier L.
AU  - Santiago, José
AU  - Vilches, Fuensanta
AB  - We propose an efficient method to perform on-shell matching calculations in effective field theories. The standard off-shell approach to matching requires the use of a Green's basis that includes redundant and evanescent operators. The reduction of such a basis to a physical one is often highly non-trivial, difficult to automate and error prone. Our proposal is based on a numerical solution of the corresponding on-shell matching equations, which automatically implements in a trivial way the delicate cancellation between the non-local terms in the full theory and those in the effective one. The use of rational on-shell kinematics ensures an exact analytic solution despite the numerical procedure. In this way we only need a physical basis to perform the matching. Our procedure can be used to reduce any Green's basis to an arbitrary physical one, or to translate between physical bases; to renormalize arbitrary effective Lagrangians, directly in terms of a physical basis; and to perform finite matching, including evanescent contributions, as we discuss with explicit examples.
ER  -

@Article{10.21468/SciPostPhys.18.6.185,
	title={{Efficient on-shell matching}},
	author={Mikael Chala and Javier L. Miras and José Santiago and Fuensanta Vilches},
	journal={SciPost Phys.},
	volume={18},
	pages={185},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.6.185},
	url={https://scipost.org/10.21468/SciPostPhys.18.6.185},
}