Mass enhancement and critical behavior in technicolor theories

Appelquist, Thomas; Terning, John; Wijewardhana, L.C.R.

doi:10.1103/PhysRevD.44.871

Mass enhancement and critical behavior in technicolor theories

Mar, 1991

25 pages

Published in:

Phys.Rev.D 44 (1991) 871-877

DOI:

10.1103/PhysRevD.44.871

Report number:

YCTP-P12-91

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Abstract: (APS)

Quark and lepton masses in technicolor theories can be enhanced if the high-energy, extended technicolor (ETC) interactions play an important role in electroweak symmetry breaking. This happens when the ETC coupling and the technicolor gauge coupling at high energies lie close to a certain critical line. The enhancement has been associated with the existence of composite scalars made mainly of technifermions, with masses small compared to the ETC scale. The initial study of these states was carried out with the technicolor gauge coupling neglected. In this paper we investigate the properties of such scalars including the technicolor gauge interactions. We find that for realistic values of the gauge coupling, the scalars will not be narrow resonances. Mass and width estimates are made and some comments about the phenomenology of these states are included.

model: technicolor
electroweak interaction
dynamical symmetry breaking
critical phenomena
fermion: mass generation
mass generation: fermion
mass: enhancement
enhancement: mass
symmetry: chiral
numerical calculations

References(20)

Figures(0)

[1]

Techniodor

Bob Holdom
(
- Toronto U. and
- Santa Barbara, KITP
)

- Phys.Lett.B 150 (1985) 301-305
•
DOI:
- 10.1016/0370-2693(85)91015-9

[1]

Chiral Hierarchies and the Flavor Changing Neutral Current Problem in Technicolor

- Phys.Rev.Lett. 57 (1986) 957
•
DOI:
- 10.1103/PhysRevLett.57.957

[1]

Chiral Hierarchies and Chiral Perturbations in Technicolor

Thomas Appelquist
(
- Yale U.
)
,
L.C.R. Wijewardhana
(
- Yale U.
)

- Phys.Rev.D 35 (1987) 774
•
DOI:
- 10.1103/PhysRevD.35.774

[1]

Chiral Hierarchies from Slowly Running Couplings in Technicolor Theories

Thomas Appelquist
(
- Yale U.
)
,
L.C.R. Wijewardhana
(
- Yale U.
)

- Phys.Rev.D 36 (1987) 568
•
DOI:
- 10.1103/PhysRevD.36.568

[2]

Higher Mass Scales and Mass Hierarchies

- Phys.Lett.B 220 (1989) 223-228
•
DOI:
- 10.1016/0370-2693(89)90041-5

[3]

Analytical and Numerical Study of the Schwinger-dyson Equation With Four Fermion Coupling

Tatsu Takeuchi
(
- Yale U.
)

- Phys.Rev.D 40 (1989) 2697
•
DOI:
- 10.1103/PhysRevD.40.2697

[4]

EFFECTIVE FOUR FERMION INTERACTIONS AND CHIRAL SYMMETRY BREAKING

- Johns Hopkins Workshop 1988:0197

[4]

Critical Line and Dilaton in Scale Invariant QED

- Phys.Rev.D 39 (1989) 2430
•
DOI:
- 10.1103/PhysRevD.39.2430

[4]

Critical Line and {Bethe-Salpeter} Equation in Strong Coupling {QED} With Four Fermion Interactions

M. Inoue
(
- Hiroshima Maritime Tech. Coll.
)
,
T. Muta
(
- Hiroshima U.
)
,
T. Ochiumi
(
- Hiroshima U.
)

- Mod.Phys.Lett.A 4 (1989) 605
•
DOI:
- 10.1142/S0217732389000721

[5]

Aspects of Dynamical Electroweak Symmetry Breaking

R.Sekhar Chivukula
(
- Boston U. and
- Santa Barbara, KITP
)
,
Andrew G. Cohen
(
- Boston U. and
- Santa Barbara, KITP
)
,
Kenneth D. Lane
(
- Boston U. and
- Santa Barbara, KITP
)

- Nucl.Phys.B 343 (1990) 554-570,
- Nucl. Phys. B343 (1990) 554-570 and Boston Univ. - BU-HEP 90-10 (90,rec.May) 21 p
•
DOI:
- 10.1016/0550-3213(90)90580-7

[6]

Large Fermion Masses From Extended Technicolor Interactions

Thomas Appelquist
(
- Yale U.
)
,
Opher Shapira
(
- Yale U.
)

- Phys.Lett.B 249 (1990) 83-89
•
DOI:
- 10.1016/0370-2693(90)90530-J

[6]

Numerical Studies of Walking Technicolor Theories

Stephen F. King
(
- Southampton U.
)
,
Douglas A. Ross
(
- Southampton U.
)

- Phys.Lett.B 228 (1989) 363-369
•
DOI:
- 10.1016/0370-2693(89)91560-8

[7]

On the Ladder Approximation for Spontaneous Chiral Symmetry Breaking

- Phys.Rev.Lett. 61 (1988) 1553
•
DOI:
- 10.1103/PhysRevLett.61.1553

[7]

Walking Technicolor Beyond the Ladder Approximation

U. Mahanta
(
- Boston U. and
- Ohio State U.
)

- Phys.Rev.Lett. 62 (1989) 2349-2352
•
DOI:
- 10.1103/PhysRevLett.62.2349

[8]

Gauge invariance of fermion masses in extended technicolor theories

- Phys.Rev.D 43 (1991) 646-650
•
DOI:
- 10.1103/PhysRevD.43.R646

[8]

The exponent in Eq. (8) is sometimes denoted as y, the anomalous dimension of the fermion mass operator

[9]

In Ref. [5] the variation [Eq. (3)] of A. with a was neglected. The authors simply took A, =1

[10]

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.

Yoichiro Nambu
(
- Chicago U., EFI
)
,
G. Jona-Lasinio
(
- Chicago U., EFI
)

- Phys.Rev. 122 (1961) 345-358,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 104-117,
•
DOI:
- 10.1103/PhysRev.122.345

[10]

On the scaling properties of quenched QED

- Phys.Rev.D 42 (1990) 3514-3519
•
DOI:
- 10.1103/PhysRevD.42.3514

[10]

Challenges for Extended Technicolor Theories

Savas Dimopoulos
(
- Stanford U., Phys. Dept.
)
,
John R. Ellis
(
- CERN
)

- Nucl.Phys.B 182 (1982) 505-528,
- Also in *Farhi, E. (ed.), Jackiw, R. (ed.): Dynamical Gauge Symmetry Breaking*, 321-344
•
DOI:
- 10.1016/0550-3213(81)90132-2