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Title: Is the magnitude of the Peccei–Quinn scale set by the landscape?

Abstract

Rather general considerations of the string theory landscape imply a mild statistical draw towards large soft SUSY breaking terms tempered by the requirement of proper electroweak symmetry breaking where SUSY contributions to the weak scale are not too far from mweak~ 100 GeV. Such a picture leads to the prediction that mh~ 125 GeV while most sparticles are beyond current LHC reach. Here we explore the possibility that the magnitude of the Peccei-Quinn (PQ) scale fa is also set by string landscape considerations within the framework of a compelling SUSY axion model. First, we examine the case where the PQ symmetry arises as an accidental approximate global symmetry from a more fundamental gravity-safe Z$$R\atop{24}$$ symmetry and where the SUSY mu parameter arises from a Kim-Nilles operator. The pull towards large soft terms then also pulls the PQ scale as large as possible. Unless this is tempered by rather severe (unknown) cosmological or anthropic bounds on the density of dark matter, then we would expect a far greater abundance of dark matter than is observed. This conclusion cannot be negated by adopting a tiny axion misalignment angle θi because WIMPs are also overproduced at large fa. Hence, we conclude that setting the PQ scale via anthropics is highly unlikely. Instead, requiring soft SUSY breaking terms of order the gravity-mediation scale m3/2~ 10-100 TeV places the mixed axion-neutralino dark matter abundance into the intermediate scale sweet zone where fa~ 1011-1012 GeV. We compare our analysis to the more general case of a generic SUSY DFSZ axion model with uniform selection on theta_i but leading to the measured dark matter abundance: this approach leads to a preference for fa~ 1012 GeV.

Authors:
ORCiD logo [1];  [2];  [1];  [2];  [1];  [1]
  1. Univ. of Oklahoma, Norman, OK (United States)
  2. Univ. of Wisconsin, Madison, WI (United States)
Publication Date:
Research Org.:
Univ. of Oklahoma, Norman, OK (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1600540
Report Number(s):
arXiv:1905.00443
Journal ID: ISSN 1434-6044; arXiv:1905.00443
Grant/Contract Number:  
SC0009956
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 11; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersymmetry; axions; dark matter

Citation Formats

Baer, Howard, Barger, Vernon, Sengupta, Dibyashree, Serce, Hasan, Sinha, Kuver, and Deal, Robert Wiley. Is the magnitude of the Peccei–Quinn scale set by the landscape?. United States: N. p., 2019. Web. doi:10.1140/epjc/s10052-019-7408-x.
Baer, Howard, Barger, Vernon, Sengupta, Dibyashree, Serce, Hasan, Sinha, Kuver, & Deal, Robert Wiley. Is the magnitude of the Peccei–Quinn scale set by the landscape?. United States. doi:https://doi.org/10.1140/epjc/s10052-019-7408-x
Baer, Howard, Barger, Vernon, Sengupta, Dibyashree, Serce, Hasan, Sinha, Kuver, and Deal, Robert Wiley. Thu . "Is the magnitude of the Peccei–Quinn scale set by the landscape?". United States. doi:https://doi.org/10.1140/epjc/s10052-019-7408-x. https://www.osti.gov/servlets/purl/1600540.
@article{osti_1600540,
title = {Is the magnitude of the Peccei–Quinn scale set by the landscape?},
author = {Baer, Howard and Barger, Vernon and Sengupta, Dibyashree and Serce, Hasan and Sinha, Kuver and Deal, Robert Wiley},
abstractNote = {Rather general considerations of the string theory landscape imply a mild statistical draw towards large soft SUSY breaking terms tempered by the requirement of proper electroweak symmetry breaking where SUSY contributions to the weak scale are not too far from mweak~ 100 GeV. Such a picture leads to the prediction that mh~ 125 GeV while most sparticles are beyond current LHC reach. Here we explore the possibility that the magnitude of the Peccei-Quinn (PQ) scale fa is also set by string landscape considerations within the framework of a compelling SUSY axion model. First, we examine the case where the PQ symmetry arises as an accidental approximate global symmetry from a more fundamental gravity-safe Z$R\atop{24}$$ symmetry and where the SUSY mu parameter arises from a Kim-Nilles operator. The pull towards large soft terms then also pulls the PQ scale as large as possible. Unless this is tempered by rather severe (unknown) cosmological or anthropic bounds on the density of dark matter, then we would expect a far greater abundance of dark matter than is observed. This conclusion cannot be negated by adopting a tiny axion misalignment angle θi because WIMPs are also overproduced at large fa. Hence, we conclude that setting the PQ scale via anthropics is highly unlikely. Instead, requiring soft SUSY breaking terms of order the gravity-mediation scale m3/2~ 10-100 TeV places the mixed axion-neutralino dark matter abundance into the intermediate scale sweet zone where fa~ 1011-1012 GeV. We compare our analysis to the more general case of a generic SUSY DFSZ axion model with uniform selection on theta_i but leading to the measured dark matter abundance: this approach leads to a preference for fa~ 1012 GeV.},
doi = {10.1140/epjc/s10052-019-7408-x},
journal = {European Physical Journal. C, Particles and Fields},
number = 11,
volume = 79,
place = {United States},
year = {2019},
month = {11}
}

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