Triviality bounds in two doublet models

We examine perturbatively the two-Higgs-doublet extension of the \SM\ in the context of the suspected triviality of theories with fundamental scalars. Requiring the model to define a consistent effective theory for scales below a cutoff of

2\pi

times the largest mass of the problem, as motivated by lattice investigations of the one-Higgs-doublet model, we obtain combined bounds for the parameters of the model. We find upper limits of 470 GeV for the mass of the light

CP

--even neutral scalar and 650--700 GeV for the other scalar masses.

electroweak interaction
Higgs particle: multiplet
multiplet: Higgs particle
doublet: 2
scalar particle: mass
mass: scalar particle
perturbation theory
renormalization group
Higgs particle: mass
mass: Higgs particle

References(44)

Figures(0)

Renormalization group and critical phenomena. 2. Phase space cell analysis of critical behavior

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.B 4 (1971) 3184-3205
•
DOI:
- 10.1103/PhysRevB.4.3184

The Renormalization group and the epsilon expansion

- Phys.Rept. 12 (1974) 75-199
•
DOI:
- 10.1016/0370-1573(74)90023-4

The continuous-spin Ising model, g0:phi**4:d field theory, and renormalization group

- J.Statist.Phys. 24 (1981) 469-528
•
DOI:
- 10.1007/BF01012818

Proof of the Triviality of phi**4 in D-Dimensions Field Theory and Some Mean Field Features of Ising Models for D>4

M. Aizenman
(
- Princeton U.
)

- Phys.Rev.Lett. 47 (1981) 1-4,
- Preprint - AIZENMAN, M. (REC.MAY 81) 10p,
- Phys. Rev. Lett. 47 (1981) 1-4 and Preprint - AIZENMAN, M. (REC.MAY 81) 10p,
- Phys. Rev. Lett. 47 (1981) 886. ( Phys. Rev. Lett. 47 ( 1981) 1)
•
DOI:
- 10.1103/PhysRevLett.47.1

Geometric Analysis of phi**4 Fields and Ising Models (Parts 1 & 2)

Michael Aizenman
(
- Princeton U.
)

- Commun.Math.Phys. 86 (1982) 1
•
DOI:
- 10.1007/BF01205659

On the Triviality of Lambda (phi**4) in D-Dimensions Theories and the Approach to the Critical Point in D >= Four-Dimensions

J. Frohlich
(
- IHES, Bures-sur-Yvette
)

- Nucl.Phys.B 200 (1982) 281-296,
- Also in *Froehlich, J.: Non-perturbative quantum field theory* 505-520
•
DOI:
- 10.1016/0550-3213(82)90088-8

- Ann.Inst.H.Poincare Phys.Theor.A 37 317

Polymers and g phi**4 Theory in Four-Dimensions

C. Aragao De Carvalho
(
- Orsay, LPT
)
,
S. Caracciolo
(
- Pisa, Scuola Normale Superiore
)
,
J. Frohlich
(
- Zurich, ETH
)

- Nucl.Phys.B 215 (1983) 209-248
•
DOI:
- 10.1016/0550-3213(83)90213-4

Monte Carlo Evaluation of the Continuum Limit of (phi4) in Four-Dimensions and (phi4) in Three-Dimensions

- Phys.Lett.B 113 (1982) 481-486
•
DOI:
- 10.1016/0370-2693(82)90790-0

A Monte Carlo Study of $\phi^4$ in Four-dimensions

I.A. Fox
(
- DESY
)
,
I.G. Halliday
(
- Imperial Coll., London
)

- Phys.Lett.B 159 (1985) 148-150
•
DOI:
- 10.1016/0370-2693(85)90875-5

On the Fixed Point Structure of $\phi^4$ Theory in Four-dimensions

C.B. Lang
(
- Graz U.
)

- Phys.Lett.B 155 (1985) 399-403
•
DOI:
- 10.1016/0370-2693(85)91594-1

On the Continuum Limit of $D=4$ Lattice $\phi^4$ Theory

C.B. Lang
(
- Florida State U., SCRI and
- Graz U.
)

- Nucl.Phys.B 265 (1986) 630-646
•
DOI:
- 10.1016/0550-3213(86)90333-0

Stochastic quantization simulation of φ4 theory

- Nucl.Phys.B 280 (1987) 25-44,
- Nucl.Phys.B 280 (1987) 25
•
DOI:
- 10.1016/0550-3213(87)90137-4

Monte Carlo Renormalization Group Study of $\phi^4$ Field Theory

David J.E. Callaway
(
- CERN
)
,
Roberto Petronzio
(
- CERN
)

- Nucl.Phys.B 240 (1984) 577-587
•
DOI:
- 10.1016/0550-3213(84)90246-3

MASSLESS LATTICE PHI**4 in four-dimensions THEORY: A NONPERTURBATIVE CONTROL OF A RENORMALIZABLE MODEL

- Phys.Rev.Lett. 54 (1985) 92-94,
- Commun.Math.Phys. 99 (1985) 197-252,
- Phys. Rev. Lett. 54 ( 1985) 92-94,
- Commun. Math. Phys. 99 ( 1985) 197-252
•
DOI:
- 10.1103/PhysRevLett.54.92