Abstract
We investigate a locally scale-invariant (that is, Weyl-invariant) theory which describes the coupling of gravity and the standard model from the viewpont of the Higgs mechanism and inflation. It is shown that this theory exhibits a peculiar feature of a coupling between the gauge field and the inflaton in a large field limit whereas it nicely describes the standard model coupled to general relativity in a small field limit. Moreover, we discuss a possibility that this Weyl invariant theory could explain the recent BICEP2 measurement by deforming the potential term in an appropriate way, and find it to be difficult to do that even if we introduce a non-analytical type of the potential.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A.H. Guth, The inflationary universe: a possible solution to the horizon and flatness problems, Phys. Rev. D 23 (1981) 347 [INSPIRE].
A.D. Linde, A new inflationary universe scenario: a possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems, Phys. Lett. B 108 (1982) 389 [INSPIRE].
W.A. Bardeen, On naturalness in the standard model, FERMILAB-CONF-95-391 (1995).
Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XXII. Constraints on inflation, arXiv:1303.5082 [INSPIRE].
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
F.L. Bezrukov and M. Shaposhnikov, The standard model Higgs boson as the inflaton, Phys. Lett. B 659 (2008) 703 [arXiv:0710.3755] [INSPIRE].
F. Bezrukov, The Higgs field as an inflaton, Class. Quant. Grav. 30 (2013) 214001 [arXiv:1307.0708] [INSPIRE].
I. Oda, Classically scale-invariant B-L model and dilaton gravity, Phys. Rev. D 87 (2013) 065025 [arXiv:1301.2709] [INSPIRE].
I. Oda, Classically scale-invariant B-L model and conformal gravity, Phys. Lett. B 724 (2013) 160 [arXiv:1305.0884] [INSPIRE].
I. Oda, Higgs mechanism in scale-invariant gravity, Adv. Stud. Theor. Phys. 8 (2014) 215 [arXiv:1308.4428] [INSPIRE].
R. Kallosh and A. Linde, Universality class in conformal inflation, JCAP 07 (2013) 002 [arXiv:1306.5220] [INSPIRE].
R. Kallosh and A. Linde, Superconformal generalization of the chaotic inflation model \( \frac{\lambda }{4}{\phi}^4 - \frac{\xi }{2}{\phi}^2R \), JCAP 06 (2013) 027 [arXiv:1306.3211] [INSPIRE].
R. Kallosh and A. Linde, Superconformal generalizations of the Starobinsky model, JCAP 06 (2013) 028 [arXiv:1306.3214] [INSPIRE].
A. Linde, Inflationary Cosmology after Planck 2013, arXiv:1402.0526 [INSPIRE].
I. Bars, P. Steinhardt and N. Turok, Local conformal symmetry in physics and cosmology, Phys. Rev. D 89 (2014) 043515 [arXiv:1307.1848] [INSPIRE].
I. Bars, P.J. Steinhardt and N. Turok, Cyclic cosmology, conformal symmetry and the metastability of the Higgs, Phys. Lett. B 726 (2013) 50 [arXiv:1307.8106] [INSPIRE].
M.P. Hertzberg, Inflation, symmetry and B-modes, arXiv:1403.5253 [INSPIRE].
R. Costa and H. Nastase, Conformal inflation from the Higgs, JHEP 06 (2014) 145 [arXiv:1403.7157] [INSPIRE].
BICEP2 collaboration, P.A.R. Ade et al., Detection of B-mode polarization at degree angular scales by BICEP2, Phys. Rev. Lett. 112 (2014) 241101 [arXiv:1403.3985] [INSPIRE].
C.W. Misner, K.S. Thorne and J.A. Wheeler, Gravitation, W.H. Freeman and Co., U.S.A. (1973).
H.E. Logan, TASI 2013 lectures on Higgs physics within and beyond the Standard Model, arXiv:1406.1786 [INSPIRE].
I. Oda and T. Tomoyose, in preparation.
A.A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. B 91 (1980) 99 [INSPIRE].
I. Oda and T. Tomoyose, Quadratic chaotic inflation from Higgs inflation, Adv. Stud. Theor. Phys. 8 (2014) 551 [arXiv:1404.1538] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1407.7575
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Oda, I., Tomoyose, T. Conformal Higgs inflation. J. High Energ. Phys. 2014, 165 (2014). https://doi.org/10.1007/JHEP09(2014)165
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2014)165