Matching renormalisable couplings: simple schemes and a plot

Abstract : We discuss different choices that can be made when matching a general high-energy theory 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). Our restrictions are that the high-energy theory should not contain heavy gauge bosons and that we ignore higher-dimensional operators. 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.
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https://hal.archives-ouvertes.fr/hal-01914890
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Submitted on : Wednesday, November 7, 2018 - 11:15:18 AM
Last modification on : Wednesday, April 24, 2019 - 11:44:47 AM

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Johannes Braathen, Mark D. Goodsell, Pietro Slavich. Matching renormalisable couplings: simple schemes and a plot. 2018. ⟨hal-01914890⟩

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