Published August 2013
| Submitted
Journal Article
Open
Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models
- Creators
- Estrada, Christopher
- Marcolli, Matilde
Abstract
We study the renormalization group flow for the Higgs self coupling in the presence of gravitational correction terms. We show that the resulting equation is equivalent to a singular linear ODE, which has explicit solutions in terms of hypergeometric functions. We discuss the implications of this model with gravitational corrections on the Higgs mass estimates in particle physics models based on the spectral action functional.
Additional Information
© 2013 World Scientific Publishing Company. Received 10 October 2012; Accepted 20 December 2012; Published 27 March 2013. The first author was supported by a Mellon Mays Undergraduate Fellowship. The second author was partially supported by NSF Grants DMS-0901221, DMS-1007207, DMS-1201512, PHY-1205440.Attached Files
Submitted - 1208.5023v1.pdf
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Additional details
- Eprint ID
- 34007
- DOI
- 10.1142/S0219887813500369
- Resolver ID
- CaltechAUTHORS:20120911-145601334
- Mellon Mays Undergraduate Fellowship
- DMS-0901221
- NSF
- DMS-1007207
- NSF
- DMS-1201512
- NSF
- PHY-1205440
- NSF
- Created
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2012-09-11Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field