Ponente
Descripción
The Standard Model Effective Field Theory (SMEFT) provides a systematic way to incorporate potential new physics effects and is therefore instrumental in testing the validity of the SM. To this end, a major challenge lies in achieving greater precision in SMEFT calculations, which includes the computation of observables to O(1/Λ²) (dimension-six) at one-loop and to O(1/Λ⁴) (dimension-eight) at tree level. Furthermore, for consistency as well as for testing the SMEFT against data obtained at very different scales, the dimension-eight SMEFT should be renormalized to the one-loop level. This work contributes to this endeavour by computing two-fermion renormalization group equations (RGEs) induced by pairs of dimension-six terms. Our approach relies on off-shell diagrammatic techniques, for which we build a new basis of dimension-eight Green’s functions with two-fermions and two or more Higgs fields. We apply diagrammatic on-shell matching to minimize redundant interactions, relying on the equivalence of the S-matrices computed within the redundant and non-redundant Lagrangians.
Abstract
The Standard Model Effective Field Theory (SMEFT) provides a systematic way to incorporate potential new physics effects and is therefore instrumental in testing the validity of the SM. To this end, a major challenge lies in achieving greater precision in SMEFT calculations, which includes the computation of observables to O(1/Λ²) (dimension-six) at one-loop and to O(1/Λ⁴) (dimension-eight) at tree level. Furthermore, for consistency as well as for testing the SMEFT against data obtained at very different scales, the dimension-eight SMEFT should be renormalized to the one-loop level. This work contributes to this endeavour by computing two-fermion renormalization group equations (RGEs) induced by pairs of dimension-six terms. Our approach relies on off-shell diagrammatic techniques, for which we build a new basis of dimension-eight Green’s functions with two-fermions and two or more Higgs fields. We apply diagrammatic on-shell matching to minimize redundant interactions, relying on the equivalence of the S-matrices computed within the redundant and non-redundant Lagrangians.
