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Naturalness and the Weak Gravity Conjecture

Cheung, Clifford and Remmen, Grant N. (2014) Naturalness and the Weak Gravity Conjecture. Physical Review Letters, 113 (5). Art. No. 051601. ISSN 0031-9007. doi:10.1103/PhysRevLett.113.051601.

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The weak gravity conjecture (WGC) is an ultraviolet consistency condition asserting that an Abelian force requires a state of charge q and mass m with q>m/m_(Pl). We generalize the WGC to product gauge groups and study its tension with the naturalness principle for a charged scalar coupled to gravity. Reconciling naturalness with the WGC either requires a Higgs phase or a low cutoff at Λ∼qm_(Pl). If neither applies, one can construct simple models that forbid a natural electroweak scale and whose observation would rule out the naturalness principle.

Item Type:Article
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URLURL TypeDescription Paper DOIArticle
Remmen, Grant N.0000-0001-6569-8866
Additional Information:© 2014 American Physical Society. Received 19 February 2014; revised manuscript received 23 April 2014; published 29 July 2014. We thank Nima Arkani-Hamed, Sean Carroll, Meimei Dong, Stefan Leichenauer, Jesse Thaler, and Mark Wise for useful discussions and comments. We also thank the referees for helpful observations on this work. C. C. is supported by a DOE Early Career Award under Grant No. DE-SC0010255. G. N. R. is supported by a Hertz Graduate Fellowship and a NSF Graduate Research Fellowship under Grant No. DGE-1144469.
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0010255
Fannie and John Hertz FoundationUNSPECIFIED
NSF Graduate Research FellowshipDGE-1144469
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Other Numbering System NameOther Numbering System ID
Issue or Number:5
Classification Code:PACS: 11.10.Hi, 04.60.-m, 04.70.Dy, 11.15.-q
Record Number:CaltechAUTHORS:20140225-090558354
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:43970
Deposited By: Ruth Sustaita
Deposited On:25 Feb 2014 17:15
Last Modified:10 Nov 2021 16:45

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