Efficient on-shell matching

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• Jose Santiago (Universidad de Granada)
• Friday 06 December 2024, 16:00-17:00
• MR19 (Potter Room, Pavilion B), CMS.

If you have a question about this talk, please contact Nico Gubernari.

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.

This talk is part of the HEP phenomenology joint Cavendish-DAMTP seminar series.

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