Neutrino masses in the Lee-Wick standard model
Abstract
Recently, an extension of the standard model based on ideas of Lee and Wick has been discussed. This theory is free of quadratic divergences and hence has a Higgs mass that is stable against radiative corrections. Here, we address the question of whether or not it is possible to couple very heavy particles, with masses much greater than the weak scale, to the Lee-Wick standard model degrees of freedom and still preserve the stability of the weak scale. We show that in the LW-standard model the familiar seesaw mechanism for generating neutrino masses preserves the solution to the hierarchy puzzle provided by the higher derivative terms. The very heavy right-handed neutrinos do not destabilize the Higgs mass. We give an example of new heavy degrees of freedom that would destabilize the hierarchy, and discuss a general mechanism for coupling other heavy degrees of freedom to the Higgs doublet while preserving the hierarchy.
Additional Information
©2008 The American Physical Society. (Received 17 December 2007; published 2 April 2008) We thank Andrew Cohen for stimulating discussions. J.R.E. is supported in part by CICYT, Spain, under Contract No. FPA2004-02015; by a Comunidad de Madrid project (P-ESP-00346); and by the European Commission under Contracts No. MRTN-CT-2004-503369 and No. MRTN-CT-2006-035863. The work of B.G. was supported in part by the U.S. Department of Energy under Contract No. DE-FG03-97ER40546, while the work of D.O.C. and M.B.W. was supported in part by the U.S. Department of Energy under Contract No. DEFG03-92ER40701.Files
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Additional details
- Eprint ID
- 10011
- Resolver ID
- CaltechAUTHORS:ESPprd08
- Created
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2008-04-05Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field