$\beta$-function for the Higgs self-interaction in the Standard Model at three-loop level

Chetyrkin, K.G.; Zoller, M.F.

doi:10.1007/JHEP04(2013)091

$\beta$ -function for the Higgs self-interaction in the Standard Model at three-loop level

Mar 12, 2013

7 pages

Published in:

JHEP 04 (2013) 091,
JHEP 09 (2013) 155 (erratum)

Published: 2013

e-Print:

1303.2890 [hep-ph]

DOI:

Report number:

TTP13-008,
SFB-CPP-13-19

View in:

ADS Abstract Service

pdf

reference search148 citations

Citations per year

Abstract: (Springer)

We analytically compute the QCD, electroweak, Higgs and third generation Yukawa contributions to the β-function for the Higgs self-coupling as well as for the Higgs mass parameter in the unbroken phase of the Standard Model at three-loop level.

Note:

v2: minor improvements, references added v3: A bug in the numerical analysis is corrected, which changes some terms in Eqs. (3.6), (3.7), (3.9) and (3.10). The overall effect of these terms to the evolution of the Higgs quartic coupling at large scales remains small. The analytical results stay untouched. Three figures are added

Renormalization Group
Higgs Physics
Standard Model
Higgs particle: mass
beta function
electroweak interaction
quantum chromodynamics: correction
renormalization group
radiative correction
higher-order

References(57)

Figures(4)

[1]

Gauge Coupling Beta Functions in the Standard Model to Three Loops

- Phys.Rev.Lett. 108 (2012) 151602
•
e-Print:
- 1201.5868
•
DOI:
- 10.1103/PhysRevLett.108.151602

[2]

Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order

- Phys.Rev.D 86 (2012) 096008
•
e-Print:
- 1208.3357
•
DOI:
- 10.1103/PhysRevD.86.096008

[3]

Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops

A.V. Bednyakov
(
- Dubna, JINR
)
,
A.F. Pikelner
(
- Dubna, JINR
)
,
V.N. Velizhanin
(
- St. Petersburg, INP
)

- JHEP 01 (2013) 017
•
e-Print:
- 1210.6873
•
DOI:
- 10.1007/JHEP01(2013)017

[4]

Three-loop \beta-functions for top-Yukawa and the Higgs self-interaction in the Standard Model

- JHEP 06 (2012) 033
•
e-Print:
- 1205.2892
•
DOI:
- 10.1007/JHEP06(2012)033

[5]

Yukawa coupling beta-functions in the Standard Model at three loops

A.V. Bednyakov
(
- Dubna, JINR
)
,
A.F. Pikelner
(
- Dubna, JINR
)
,
V.N. Velizhanin
(
- St. Petersburg, INP
)

- Phys.Lett.B 722 (2013) 336-340
•
e-Print:
- 1212.6829
•
DOI:
- 10.1016/j.physletb.2013.04.038

[6]

Ultraviolet Behavior of Nonabelian Gauge Theories

David J. Gross
(
- Princeton U.
)
,
Frank Wilczek
(
- Princeton U.
)

- Phys.Rev.Lett. 30 (1973) 1343-1346,
- Also in *Rebbi, C. (Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 233-236,
•
DOI:
- 10.1103/PhysRevLett.30.1343

[7]

Reliable Perturbative Results for Strong Interactions?

H.David Politzer
(
- Harvard U.
)

- Phys.Rev.Lett. 30 (1973) 1346-1349,
- Also in *Mohapatra, R. N. (Ed.), Lai, C. H. (Ed.): Gauge Theories Of Fundamental Interactions*, 333-336, and in *Rebbi, C. (Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 237-240,
- In *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 243-246,
•
DOI:
- 10.1103/PhysRevLett.30.1346

[8]

Two Loop Diagrams in Yang-Mills Theory

D.R.T. Jones
(
- Oxford U.
)

- Nucl.Phys.B 75 (1974) 531,
- Marseille Colloq.,1974:68
•
DOI:
- 10.1016/0550-3213(74)90093-5

[9]

Two Loop Renormalization of the Yang-Mills Theory in an Arbitrary Gauge

O.V. Tarasov
(
- Moscow State U.
)
,
A.A. Vladimirov
(
- Dubna, JINR
)

- Sov.J.Nucl.Phys. 25 (1977) 585,
- Yad.Fiz. 25 (1977) 1104-1106

[10]

Asymptotic Behavior of Nonabelian Gauge Theories to Two Loop Order

William E. Caswell
(
- Princeton U.
)

- Phys.Rev.Lett. 33 (1974) 244
•
DOI:
- 10.1103/PhysRevLett.33.244

[11]

Two Loop Renormalization of the {QCD} in an Arbitrary Gauge

E. Egorian
(
- Dubna, JINR
)
,
O.V. Tarasov
(
- Dubna, JINR
)

- Teor.Mat.Fiz. 41 (1979) 26-32,
- Theor.Math.Phys. 41 (1979) 863-867

[12]

The Two Loop beta Function for a G(1) x G(2) Gauge Theory

D.R.T. Jones
(
- Michigan U.
)

- Phys.Rev.D 25 (1982) 581
•
DOI:
- 10.1103/PhysRevD.25.581

[13]

Effects of Large Mass Fermions on $M_X$ and $\sin^2\theta_W$

Mark S. Fischler
(
- Fermilab
)
,
Christopher T. Hill
(
- Fermilab
)

- Nucl.Phys.B 193 (1981) 53-60
•
DOI:
- 10.1016/0550-3213(81)90517-4

[14]

Two Loop Corrections to the Evolution of the Higgs-Yukawa Coupling Constant

M. Fischler
(
- Pittsburgh U.
)
,
J. Oliensis
(
- Fermilab
)

- Phys.Lett.B 119 (1982) 385,
- Phys. Lett. B119 (1982) 385-386 and Pittsburgh Univ. - PITT-82-02 (82,REC.JUL.) 5p
•
DOI:
- 10.1016/0370-2693(82)90695-5