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Naturally light dilatons from nearly marginal deformations

Eugenio Megias
(
- Barcelona, Autonoma U. and
- Barcelona, IFAE
)
,
Oriol Pujolas
(
- Barcelona, Autonoma U. and
- Barcelona, IFAE
)

Jan 20, 2014

31 pages

Published in:

JHEP 08 (2014) 081

Published: 2014

e-Print:

1401.4998 [hep-th]

DOI:

10.1007/JHEP08(2014)081

Report number:

UAB-FT-751

View in:

ADS Abstract Service

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Abstract: (Springer)

We discuss the presence of a light dilaton in CFTs deformed by a nearlymarginal operator

\mathcal{O}

, in the holographic realizations consisting of confining RG flows that end on a soft wall. Generically, the deformations induce a condensate

\left\langle \mathcal{O}\right\rangle

, and the dilaton mode can be identified as the fluctuation of

\left\langle \mathcal{O}\right\rangle

. We obtain a mass formula for the dilaton as a certain average along the RG flow. The dilaton is naturally light whenever i) confinement is reached fast enough (such as via the condensation of

\mathcal{O}

) and ii) the beta function is small (walking) at the condensation scale. These conditions are satisfied for a class of models with a bulk pseudo-Goldstone boson whose potential is nearly flat at small field and exponential at large field values. Thus, the recent observation by Contino, Pomarol and Rattazzi holds in CFTs with a single nearly-marginal operator.

Note:

37 pages, 7 figures; v2 typos corrected, references added; v3 comments added in sec. 2.2, footnote 9 added

Gauge-gravity correspondence
Conformal and W Symmetry
AdS-CFT Correspondence
Renormalization Group
renormalization group: flow
field theory: conformal
deformation: marginal
differential equations: nonlinear
dilaton
condensation

References(60)

Figures(8)

[1]

unpublished work. See talks by R. Rattazzi at Planck[indico/contribId=163&confId=75810], and by A. Pomarol at the XVI IFT Xmas Workshop

R. Contino
,
A. Pomarol
,
R. Rattazzi

[2]

A Naturally Light Dilaton and a Small Cosmological Constant

Brando Bellazzini
(
- CEA, DSM, Saclay and
- Padua U., Astron. Dept. and
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)
,
Csaba Csaki
(
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)
,
Jay Hubisz
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)
,
Javi Serra
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)
,
John Terning
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)

- Eur.Phys.J.C 74 (2014) 2790
•
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•
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Francesco Coradeschi
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)
,
Paolo Lodone
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)
,
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)
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)

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Walter D. Goldberger
(
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)
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Benjamin Grinstein
(
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)
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Witold Skiba
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)

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[19]

A Light Dilaton in Walking Gauge Theories

Thomas Appelquist
(
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)
,
Yang Bai
(
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)

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[20]

A Very Light Dilaton

Benjamin Grinstein
(
- UC, San Diego
)
,
Patipan Uttayarat
(
- UC, San Diego
)

- JHEP 07 (2011) 038
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Luca Vecchi
(
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)

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Have We Observed the Higgs (Imposter)?

Ian Low
(
- Argonne and
- Northwestern U.
)
,
Joseph Lykken
(
- Fermilab
)
,
Gabe Shaughnessy
(
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)

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Zackaria Chacko
(
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)
,
Rashmish K. Mishra
(
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)

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[24]

Resonance at 125 GeV: Higgs or Dilaton/Radion?

Zackaria Chacko
(
- Maryland U.
)
,
Roberto Franceschini
(
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)
,
Rashmish K. Mishra
(
- Maryland U.
)

- JHEP 04 (2013) 015
•
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•
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A Higgslike Dilaton

Brando Bellazzini
(
- Padua U. and
- INFN, Padua and
- SISSA, Trieste
)
,
Csaba Csaki
(
- Cornell U., Phys. Dept. and
- Cornell U., LEPP
)
,
Jay Hubisz
(
- Syracuse U.
)
,
Javi Serra
(
- Cornell U., Phys. Dept. and
- Cornell U., LEPP
)
,
John Terning
(
- UC, Davis
)

- Eur.Phys.J.C 73 (2013) 2, 2333
•
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•
DOI:
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