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Title: Grand unification through gravitational effects

Abstract

We systematically study the unification of gauge couplings in the presence of (one or more) effective dimension-5 operators cHG{sub {mu}{nu}G}{sup {mu}{nu}/}4M{sub pl}, induced into the grand unified theory by gravitational interactions at the Planck scale. These operators alter the usual condition for gauge-coupling unification, which can, depending on the Higgs content H and vacuum expectation value, result in unification at scales M{sub X} significantly different than naively expected. We find nonsupersymmetric models of SU(5) and SO(10) unification, with natural Wilson coefficients c, that easily satisfy the constraints from proton decay. Furthermore, gauge-coupling unification at scales as high as the Planck scale seems feasible, possibly hinting at simultaneous unification of gauge and gravitational interactions. In the Appendix we work out the group theoretical aspects of this scenario for SU(5) and SO(10) unified groups in detail; this material is also relevant in the analysis of nonuniversal gaugino masses obtained from supergravity.

Authors:
 [1]; ;  [2]
  1. Physics and Astronomy, University of Sussex, Falmer, Brighton, BN1 9QH (United Kingdom)
  2. Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403 (United States)
Publication Date:
OSTI Identifier:
21409202
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 81; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.81.035007; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; EXPECTATION VALUE; GAUGE INVARIANCE; GRAND UNIFIED THEORY; GRAVITATIONAL INTERACTIONS; HIGGS BOSONS; HIGGS MODEL; MANY-DIMENSIONAL CALCULATIONS; MASS; PROTONS; SIMULATION; SO-10 GROUPS; SU-5 GROUPS; SUPERGRAVITY; WILSON LOOP; BARYONS; BASIC INTERACTIONS; BOSONS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; HADRONS; INTERACTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; NUCLEONS; PARTICLE MODELS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; SO GROUPS; SU GROUPS; SYMMETRY GROUPS; UNIFIED GAUGE MODELS; UNIFIED-FIELD THEORIES

Citation Formats

Calmet, Xavier, Hsu, Stephen D. H., and Reeb, David. Grand unification through gravitational effects. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.81.035007.
Calmet, Xavier, Hsu, Stephen D. H., & Reeb, David. Grand unification through gravitational effects. United States. https://doi.org/10.1103/PHYSREVD.81.035007
Calmet, Xavier, Hsu, Stephen D. H., and Reeb, David. 2010. "Grand unification through gravitational effects". United States. https://doi.org/10.1103/PHYSREVD.81.035007.
@article{osti_21409202,
title = {Grand unification through gravitational effects},
author = {Calmet, Xavier and Hsu, Stephen D. H. and Reeb, David},
abstractNote = {We systematically study the unification of gauge couplings in the presence of (one or more) effective dimension-5 operators cHG{sub {mu}{nu}G}{sup {mu}{nu}/}4M{sub pl}, induced into the grand unified theory by gravitational interactions at the Planck scale. These operators alter the usual condition for gauge-coupling unification, which can, depending on the Higgs content H and vacuum expectation value, result in unification at scales M{sub X} significantly different than naively expected. We find nonsupersymmetric models of SU(5) and SO(10) unification, with natural Wilson coefficients c, that easily satisfy the constraints from proton decay. Furthermore, gauge-coupling unification at scales as high as the Planck scale seems feasible, possibly hinting at simultaneous unification of gauge and gravitational interactions. In the Appendix we work out the group theoretical aspects of this scenario for SU(5) and SO(10) unified groups in detail; this material is also relevant in the analysis of nonuniversal gaugino masses obtained from supergravity.},
doi = {10.1103/PHYSREVD.81.035007},
url = {https://www.osti.gov/biblio/21409202}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 3,
volume = 81,
place = {United States},
year = {Mon Feb 01 00:00:00 EST 2010},
month = {Mon Feb 01 00:00:00 EST 2010}
}