Higgs-mediated flavor-changing neutral currents in the general framework with two Higgs doublets

An RGE analysis

G. Cvetič, Choong Sun Kim

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

We consider the standard model with two Higgs doublets with the most general Yukawa coupling terms (“type III”). In the model, the neutral-Higgs-mediated flavor-changing neutral currents (FCNC’s) are allowed, but must be reasonably suppressed at low energies of probes. It has been known that the existing hierarchies of quark masses render this suppression at low energies rather natural. On the other hand, the model has been regarded by many as unnatural because of the absence of any symmetry that would ensure the persistence of this suppression as the energy of the probes increases. The opinion has been based on the expectation that the mentioned FCNC’s would increase by large factors at increasing energies. We perform a numerical analysis of the flow of these FCN coupling parameters as governed by the one-loop renormalization group equations (RGE’s), in a simplified case when Yukawa couplings of the first quark generation are neglected. The analysis shows a remarkable persistence of the mentioned FCNC suppression and thus indicates that the model is not unnatural in the RGE sense. Further, we point out two mistakes in the Yukawa RGE’s of Machacek and Vaughn at the one-loop level.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume58
Issue number11
DOIs
Publication statusPublished - 1998 Jan 1

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neutral currents
retarding
quarks
energy
probes
hierarchies
numerical analysis
symmetry

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "We consider the standard model with two Higgs doublets with the most general Yukawa coupling terms (“type III”). In the model, the neutral-Higgs-mediated flavor-changing neutral currents (FCNC’s) are allowed, but must be reasonably suppressed at low energies of probes. It has been known that the existing hierarchies of quark masses render this suppression at low energies rather natural. On the other hand, the model has been regarded by many as unnatural because of the absence of any symmetry that would ensure the persistence of this suppression as the energy of the probes increases. The opinion has been based on the expectation that the mentioned FCNC’s would increase by large factors at increasing energies. We perform a numerical analysis of the flow of these FCN coupling parameters as governed by the one-loop renormalization group equations (RGE’s), in a simplified case when Yukawa couplings of the first quark generation are neglected. The analysis shows a remarkable persistence of the mentioned FCNC suppression and thus indicates that the model is not unnatural in the RGE sense. Further, we point out two mistakes in the Yukawa RGE’s of Machacek and Vaughn at the one-loop level.",
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N2 - We consider the standard model with two Higgs doublets with the most general Yukawa coupling terms (“type III”). In the model, the neutral-Higgs-mediated flavor-changing neutral currents (FCNC’s) are allowed, but must be reasonably suppressed at low energies of probes. It has been known that the existing hierarchies of quark masses render this suppression at low energies rather natural. On the other hand, the model has been regarded by many as unnatural because of the absence of any symmetry that would ensure the persistence of this suppression as the energy of the probes increases. The opinion has been based on the expectation that the mentioned FCNC’s would increase by large factors at increasing energies. We perform a numerical analysis of the flow of these FCN coupling parameters as governed by the one-loop renormalization group equations (RGE’s), in a simplified case when Yukawa couplings of the first quark generation are neglected. The analysis shows a remarkable persistence of the mentioned FCNC suppression and thus indicates that the model is not unnatural in the RGE sense. Further, we point out two mistakes in the Yukawa RGE’s of Machacek and Vaughn at the one-loop level.

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