Non-decoupling, triviality and the ρ{variant} parameter

Kenichiro Aoki, Santiago Peris

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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
Volume61
Issue number2
DOIs
Publication statusPublished - 1994 Jun
Externally publishedYes

Fingerprint

cut-off
ambiguity
quarks
scalars
deviation
scaling
expansion

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Non-decoupling, triviality and the ρ{variant} parameter. / Aoki, Kenichiro; Peris, Santiago.

In: Zeitschrift für Physik C Particles and Fields, Vol. 61, No. 2, 06.1994, p. 303-312.

Research output: Contribution to journalArticle

@article{0383b91964e04c49b981bff17e4c3b44,
title = "Non-decoupling, triviality and the ρ{variant} parameter",
abstract = "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.",
author = "Kenichiro Aoki and Santiago Peris",
year = "1994",
month = "6",
doi = "10.1007/BF01413109",
language = "English",
volume = "61",
pages = "303--312",
journal = "Zeitschrift fur Physik C-Particles and Fields",
issn = "1434-6044",
publisher = "Springer New York",
number = "2",

}

TY - JOUR

T1 - Non-decoupling, triviality and the ρ{variant} parameter

AU - Aoki, Kenichiro

AU - Peris, Santiago

PY - 1994/6

Y1 - 1994/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0010857785&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010857785&partnerID=8YFLogxK

U2 - 10.1007/BF01413109

DO - 10.1007/BF01413109

M3 - Article

AN - SCOPUS:0010857785

VL - 61

SP - 303

EP - 312

JO - Zeitschrift fur Physik C-Particles and Fields

JF - Zeitschrift fur Physik C-Particles and Fields

SN - 1434-6044

IS - 2

ER -