Technipion Masses and the Technicolor Beta Function

Holdom, Bob

doi:10.1016/0370-2693(87)90914-2

Technipion Masses and the Technicolor Beta Function

Bob Holdom
(
- Toronto U.
)

Aug, 1987

8 pages

Published in:

Phys.Lett.B 198 (1987) 535-542

Published: 1987

DOI:

10.1016/0370-2693(87)90914-2

Report number:

UTPT-87-22

View in:

ADS Abstract Service

reference search57 citations

Citations per year

Abstract: (Elsevier)

We discuss the general behavior of the dynamical fermion self-energy function Σ ( p ) for asymptotically free theories with slowly varying couplings. This behavior is illustrated by an analytical treatment of the linearized ladder Schwinger-Dyson equation. We emphasize that the appropriate infrared boundary condition follows from the linearization procedure. This analysis is used to show that the first-order electroweak or color contribution to a technipion mass is sensitive to the technicolor β -function. In particular for a coupling satisfying p∂ p α ( p ) = − bα 2 ( p ) and with a quadratic Casimir C 2 , there is an enhancement factor ≈ ( C 2 b ) 0.7−0.8 in the mass. This is compared to the related enhancement of the sideways contribution to technipion masses.

MODEL: TECHNICOLOR
FERMION: PROPAGATOR
FERMION: MASS
MASS: FERMION
FIELD THEORY: EFFECTIVE ACTION
DYSON-SCHWINGER EQUATION
RENORMALIZATION GROUP: BETA FUNCTION
PERTURBATION THEORY: HIGHER-ORDER
MASS: TECHNIPION
TECHNIPION: MASS

References(25)

Figures(0)

Raising the Sideways Scale

Bob Holdom
(
- Harvard U. and
- Texas U.
)

- Phys.Rev.D 24 (1981) 1441
•
DOI:
- 10.1103/PhysRevD.24.1441

Scale Invariant Technicolor Model and a Technidilaton

- Phys.Rev.Lett. 56 (1986) 1335
•
DOI:
- 10.1103/PhysRevLett.56.1335

TECHNIDILATON

- Phys.Lett.B 178 (1986) 308-312
•
DOI:
- 10.1016/0370-2693(86)91516-9

Hierarchic Chiral Condensate

T. Akiba
(
- Tohoku U.
)
,
T. Yanagida
(
- Tohoku U.
)

- Phys.Lett.B 169 (1986) 432-435
•
DOI:
- 10.1016/0370-2693(86)90385-0

Chiral Hierarchies and the Flavor Changing Neutral Current Problem in Technicolor

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

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

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

Technicolored Signatures

Savas Dimopoulos
(
- Stanford U., Phys. Dept.
)

- Nucl.Phys.B 168 (1980) 69-92,
- Madison Wkshop.1979:NO PAGINATION
•
DOI:
- 10.1016/0550-3213(80)90277-1

The Alignment of the Vacuum in Theories of Technicolor

Michael E. Peskin
(
- Saclay and
- Harvard U.
)

- Nucl.Phys.B 175 (1980) 197-233,
- Also in *Farhi, E. (ed.), Jackiw, R. (ed.): Dynamical Gauge Symmetry Breaking*, 245-281
•
DOI:
- 10.1016/0550-3213(80)90051-6

Subgroup Alignment in Hypercolor Theories

John Preskill
(
- Harvard U.
)

- Nucl.Phys.B 177 (1981) 21-59,
- Also in *Farhi, E. (ed.), Jackiw, R. (ed.): Dynamical Gauge Symmetry Breaking*, 282-320
•
DOI:
- 10.1016/0550-3213(81)90265-0

Dynamical Breaking of Weak Interaction Symmetries

Estia Eichten
(
- Harvard U.
)
,
Kenneth D. Lane
(
- Harvard U.
)

- Phys.Lett.B 90 (1980) 125-130,
- Also in *Farhi, E. (ed.), Jackiw, R. (ed.): Dynamical Gauge Symmetry Breaking*, 177-182
•
DOI:
- 10.1016/0370-2693(80)90065-9

Experimental Predictions from Technicolor Theories

S. Dimopoulos
(
- Stanford U., Phys. Dept.
)
,
S. Raby
(
- Stanford U., Phys. Dept.
)
,
Gordon L. Kane
(
- Michigan U.
)

- Nucl.Phys.B 182 (1981) 77-103
•
DOI:
- 10.1016/0550-3213(81)90459-4

Flavor Changing Suppression in Technicolor

Bob Holdom
(
- Stanford U., ITP
)

- Phys.Lett.B 143 (1984) 227
•
DOI:
- 10.1016/0370-2693(84)90840-2

Techniodor

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

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

Effective Quark Masses in the Chiral Limit

H.David Politzer
(
- Harvard U.
)

- Nucl.Phys.B 117 (1976) 397-406
•
DOI:
- 10.1016/0550-3213(76)90405-3

Dynamical Symmetry Breaking and Particle Mass Generation in Gauge Field Theories

- Riv.Nuovo Cim. 6N5 (1983) 1-90

Spontaneous Symmetry Breaking in Vector-Gluon Model

Toshihide Maskawa
(
- Kyoto U.
)
,
Hideo Nakajima
(
- Kyoto U.
)

- Prog.Theor.Phys. 52 (1974) 1326-1354
•
DOI:
- 10.1143/PTP.52.1326

Spontaneous Breaking of Chiral Symmetry in a Vector-Gluon Model. 2.

Toshihide Maskawa
(
- Kyoto U.
)
,
Hideo Nakajima
(
- Kyoto U.
)

- Prog.Theor.Phys. 54 (1975) 860
•
DOI:
- 10.1143/PTP.54.860

Schwinger-Dyson Equation for Massless Vector Theory and Absence of Fermion Pole

- Nucl.Phys.B 117 (1976) 250-264
•
DOI:
- 10.1016/0550-3213(76)90572-1

Phase Diagram With Respect to the Coupling Constant and the Local Limit in Quantum Electrodynamics

V.A. Miransky
(
- BITP, Kiev
)

- Sov.Phys.JETP 61 (1985) 905-911,
- Zh.Eksp.Teor.Fiz. 88 (1985) 1514-1526

Dynamics of Spontaneous Chiral Symmetry Breaking and Continuum Limit in Quantum Electrodynamics

V.A. Miransky
(
- BITP, Kiev
)

- Nuovo Cim.A 90 (1985) 149-170
•
DOI:
- 10.1007/BF02724229

The Dilaton and Chiral Symmetry Breaking

William A. Bardeen
(
- Fermilab
)
,
Chung Ngoc Leung
(
- Fermilab and
- Purdue U.
)
,
S.T. Love
(
- Purdue U.
)

- Phys.Rev.Lett. 56 (1986) 1230
•
DOI:
- 10.1103/PhysRevLett.56.1230

Spontaneous Symmetry Breaking in Scale Invariant Quantum Electrodynamics

Chung Ngoc Leung
(
- Purdue U.
)
,
S.T. Love
(
- Purdue U.
)
,
William A. Bardeen
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 273 (1986) 649-662
•
DOI:
- 10.1016/0550-3213(86)90382-2

The Pion Decay Constant, Electromagnetic Form-Factor and Quark Electromagnetic Selfenergy in QCD

Heinz Pagels
(
- Rockefeller U.
)
,
Saul Stokar
(
- Rockefeller U.
)

- Phys.Rev.D 20 (1979) 2947
•
DOI:
- 10.1103/PhysRevD.20.2947

Dynamical Model of Spontaneously Broken Gauge Symmetries

R. Jackiw
(
- MIT, LNS
)
,
K. Johnson
(
- MIT, LNS
)

- Phys.Rev.D 8 (1973) 2386-2398,
- Also in *Farhi, E. (ed.), Jackiw, R. (ed.): Dynamical Gauge Symmetry Breaking*, 60-72
•
DOI:
- 10.1103/PhysRevD.8.2386