Matching scalar leptoquarks to the SMEFT at one loop

Abstract In this paper we present the complete one-loop matching conditions, up to dimension-six operators of the Standard Model effective field theory, resulting by integrating out the two scalar leptoquarks S 1 ∼ 3 1 1 3 $$ {S}_1\sim {\left(\mathbf{3},\mathbf{1}\right)}_{\frac{1}{3}} $$ and S 3 ∼ 3 3 1 3 $$ {S}_3\sim {\left(\mathbf{3},\mathbf{3}\right)}_{\frac{1}{3}} $$. This allows a phenomenological study of low-energy constraints on this model at one-loop accuracy, which will be the focus of a subsequent work. Furthermore, it provides a rich comparison for functional and computational methods for one-loop matching, that are being developed. As a corollary result, we derive a complete set of dimension-six operators independent under integration by parts, but not under equations of motions, called Green’s basis, as well as the complete reduction formulae from this set to the Warsaw basis.

Abstract licence: CC BY

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