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Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology

Kolodrubetz, Daniel and Marcolli, Matilde (2010) Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology. Physics Letters B, 693 (2). pp. 166-174. ISSN 0370-2693.

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We investigate the effect of varying boundary conditions on the renormalization group flow in a recently developed noncommutative geometry model of particle physics and cosmology. We first show that there is a sensitive dependence on the initial conditions at unification, so that, varying a parameter even slightly can be shown to have drastic effects on the running of the model parameters. We compare the running in the case of the default and the maximal mixing conditions at unification. We then exhibit explicitly a particular choice of initial conditions at the unification scale, in the form of modified maximal mixing conditions, which have the property that they satisfy all the geometric constraints imposed by the noncommutative geometry of the model at unification, and at the same time, after running them down to lower energies with the renormalization group flow, they still agree in order of magnitude with the predictions at the electroweak scale.

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Additional Information:© 2010 Elsevier B.V. Received 27 June 2010; revised 26 July 2010; accepted 30 July 2010. Editor: M. Cvetič. Available online 12 August 2010. This Letter is based on the results of Daniel Kolodrubetz’s summer research project supported by Caltech’s Summer Undergraduate Research Richter Memorial Fellowship. We thank the referee for many useful comments.
Funding AgencyGrant Number
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
Subject Keywords:Noncommutative geometry models of particle physics and cosmology; Renormalization group flow; Majorana neutrinos; Initial conditions at unification; modified gravity models
Issue or Number:2
Record Number:CaltechAUTHORS:20101103-111640771
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20652
Deposited By: Jason Perez
Deposited On:03 Nov 2010 22:31
Last Modified:03 Oct 2019 02:13

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