Matching renormalisable couplings: simple schemes and a plot
Résumé
We discuss different choices that can be made when matching a general high-energy theory – with the restriction that it should not contain heavy gauge bosons – onto a general renormalisable effective field theory at one loop, with particular attention to the quartic scalar couplings and Yukawa couplings. This includes a generalisation of the counterterm scheme that was found to be useful in the case of high-scale/split supersymmetry, but we show the important differences when there are new heavy scalar fields in singlet or triplet representations of SU(2). We also analytically compare our methods and choices with the approach of matching pole masses, proving the equivalence with one of our choices. We outline how to make the extraction of quartic couplings using pole masses more efficient, an approach that we hope will generalise beyond one loop. We give examples of the impact of different scheme choices in a toy model, we also discuss the MSSM and give the threshold corrections to the Higgs quartic coupling in Dirac gaugino models.
Mots clés
effective field theory
operator: dimension: 5
operator: dimension: 6
renormalization group
mass: pole
mass: energy dependence
Higgs particle: coupling
coupling: Higgs
coupling: Yukawa
coupling: scalar
coupling: energy dependence
fermion: two-point function
threshold: correction
new physics
supersymmetry: split
gaugino: Dirac
gaugino: mass