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Title: A Correlation between the Higgs Mass and Dark Matter

Depending on the value of the Higgs mass, the Standard Model acquires an unstable region at large Higgs field values due to RG running of couplings, which we evaluate at 2-loop order. For currently favored values of the Higgs mass, this renders the electroweak vacuum only metastable with a long lifetime. We argue on statistical grounds that the Higgs field would be highly unlikely to begin in the small field metastable region in the early universe, and thus some new physics should enter in the energy range of order of, or lower than, the instability scale to remove the large field unstable region. We assume that Peccei-Quinn (PQ) dynamics enters to solve the strong CP problem and, for a PQ-scale in this energy range, may also remove the unstable region. We allow the PQ-scale to scan and argue, again on statistical grounds, that its value in our universe should be of order of the instability scale, rather than (significantly) lower. Since the Higgs mass determines the instability scale, which is argued to set the PQ-scale, and since the PQ-scale determines the axion properties, including its dark matter abundance, we are led to a correlation between the Higgs mass and themore » abundance of dark matter. We thus find the correlation to be in good agreement with current data.« less
Authors:
ORCiD logo [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics and Dept. of Physics; Tufts Univ., Medford, MA (United States). Inst. of Cosmology
Publication Date:
Grant/Contract Number:
FG02-05ER41360
Type:
Accepted Manuscript
Journal Name:
Advances in High Energy Physics
Additional Journal Information:
Journal Volume: 2017; Journal ID: ISSN 1687-7357
Publisher:
Hindawi
Research Org:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Tufts Univ., Medford, MA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; 43 PARTICLE ACCELERATORS
OSTI Identifier:
1430090

Hertzberg, Mark P. A Correlation between the Higgs Mass and Dark Matter. United States: N. p., Web. doi:10.1155/2017/6295927.
Hertzberg, Mark P. A Correlation between the Higgs Mass and Dark Matter. United States. doi:10.1155/2017/6295927.
Hertzberg, Mark P. 2017. "A Correlation between the Higgs Mass and Dark Matter". United States. doi:10.1155/2017/6295927. https://www.osti.gov/servlets/purl/1430090.
@article{osti_1430090,
title = {A Correlation between the Higgs Mass and Dark Matter},
author = {Hertzberg, Mark P.},
abstractNote = {Depending on the value of the Higgs mass, the Standard Model acquires an unstable region at large Higgs field values due to RG running of couplings, which we evaluate at 2-loop order. For currently favored values of the Higgs mass, this renders the electroweak vacuum only metastable with a long lifetime. We argue on statistical grounds that the Higgs field would be highly unlikely to begin in the small field metastable region in the early universe, and thus some new physics should enter in the energy range of order of, or lower than, the instability scale to remove the large field unstable region. We assume that Peccei-Quinn (PQ) dynamics enters to solve the strong CP problem and, for a PQ-scale in this energy range, may also remove the unstable region. We allow the PQ-scale to scan and argue, again on statistical grounds, that its value in our universe should be of order of the instability scale, rather than (significantly) lower. Since the Higgs mass determines the instability scale, which is argued to set the PQ-scale, and since the PQ-scale determines the axion properties, including its dark matter abundance, we are led to a correlation between the Higgs mass and the abundance of dark matter. We thus find the correlation to be in good agreement with current data.},
doi = {10.1155/2017/6295927},
journal = {Advances in High Energy Physics},
number = ,
volume = 2017,
place = {United States},
year = {2017},
month = {7}
}