Consistent Conformal Extensions of the Standard Model

Loebbert, Florian; Miczajka, Julian; Plefka, Jan

doi:10.1103/PhysRevD.99.015026

Consistent Conformal Extensions of the Standard Model

Florian Loebbert
(
- Humboldt U., Berlin
)
,
Julian Miczajka
(
- Humboldt U., Berlin
)
,
Jan Plefka
(
- Humboldt U., Berlin and
- CERN
)

May 24, 2018

16 pages

Published in:

Phys.Rev.D 99 (2019) 1, 015026

Published: Jan 23, 2019

e-Print:

1805.09727 [hep-ph]

DOI:

10.1103/PhysRevD.99.015026

Report number:

HU-EP-18/16,
HU-EP-18-16,
CERN-TH-2018-125

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Abstract: (APS)

The question of whether classically conformal modifications of the standard model are consistent with experimental observations has recently been subject to renewed interest. The method of Gildener and Weinberg provides a natural framework for the study of the effective potential of the resulting multiscalar standard model extensions. This approach relies on the assumption of the ordinary loop hierarchy λs∼gg2 of scalar and gauge couplings. On the other hand, Andreassen et al. recently argued that in the (single-scalar) standard model gauge invariant results require the consistent scaling λs∼gg4. In the present paper, we contrast these two hierarchy assumptions and illustrate the differences in the phenomenological predictions of minimal conformal extensions of the standard model.

Note:

20 pages, 19 figures. v2: Typo in (3.3) corrected, references added

Beyond the standard model
invariance: gauge
coupling: gauge
conformal
hierarchy
effective potential
correction: quantum
field theory: scalar
stability
Z'

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