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 \( {S}_1\sim {\left(\mathbf{3},\mathbf{1}\right)}_{\frac{1}{3}} \) and \( {S}_3\sim {\left(\mathbf{3},\mathbf{3}\right)}_{\frac{1}{3}} \). 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.
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Gherardi, V., Marzocca, D. & Venturini, E. Matching scalar leptoquarks to the SMEFT at one loop. J. High Energ. Phys. 2020, 225 (2020). https://doi.org/10.1007/JHEP07(2020)225
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DOI: https://doi.org/10.1007/JHEP07(2020)225