Non-decoupling, triviality and the ϱ parameter

Kenichiro Aoki, Santiago Peris

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


The dependence of the ρ{variant} parameter on the mass of the Higgs scalar and the top quark is computed non-perturbatively using the 1/NF expansion in the standard model. We find an explicit expression for the ρ{variant} parameter that requires the presence of a physical cutoff. This should come as no surprise since the theory is presumably trivial. By taking this cutoff into account, we find that the ρ{variant} parameter can take values only within a limited range and has finite ambiguities that are suppressed by inverse powers of the cutoff scale, the so called "scaling-violations". We find that large deviations from the perturbative results are possible, but only when the cutoff effects are also large.

Original languageEnglish
Pages (from-to)303-312
Number of pages10
JournalZeitschrift für Physik C Particles and Fields
Issue number2
Publication statusPublished - 1994 Jun
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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