A SUSY SU(6) GUT model with pseudo-Goldstone Higgs doublets

A.E. Cárcamo Hernández¹ and Rakibur Rahman²

¹ Universidad Técnica Federico Santa María and Centro Científico-Tecnológico de Valparaíso, Avda. España 1680 Casilla 110-V, Valparaíso, Chile, e-mail: antonio.carcamo@usm.cl

² Max-Planck-Institut fur Gravitationsphysik (Albert-Einstein-Institut), Am Muhlenberg 1, D-14476 Potsdam-Golm, Germany, e-mail: rakibur.rahman@aei.mpg.de

Abstract

We present a novel way of realizing the pseudo-Nambu-Goldstone boson mechanism at all orders in perturbation theory, for the doublet-triplet splitting in supersymmetric grand unified theories. The global symmetries of the Higgs sector are attributed to a non-vectorlike Higgs content, which is consistent with unbroken supersymmetry in a scenario with flat extra dimensions and branes. We also show how in such a model one can naturally obtain a realistic pattern for the Standard Model fermion masses and mixings.

Keywords: Grand unification theories; supersymmetry; fermion masses and mixings.

Resumen

Presentamos un modelo que genera el mecanismo de pseudo-Nambu-Goldstone a todo orden en teoría de perturbaciones para el problema de corrimiento de doblete-triplete en teorías supersimétricas de gran unificación. Las simetrías globales del sector de Higgs son atribuidas al contenido no vectorial de Higgs, el cual es consistente con supersimetría no rota en un escenario de dimensiones extra planas y branas. Además, mostramos como en este modelo uno puede obtener un patrón realístico de las masas y mezclas de fermiones del Modelo Estándar.

Palabras clave: Teorías de gran unificación; supersimetría; masas y mezclas de fermiones.

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Acknowledgments

We would like to thank R. Barbieri, H.-C. Cheng, G. Dvali, and R. Rattazzi for useful comments. We are especially thankful to H. Zhang for providing us with the reference values of fermion masses at the GUT scale. RR was a Postdoctoral Fellow of the Fonds de la Recherche Scientifique-FNRS, whose work was partially supported by IISN-Belgium (conventions 4.4511.06 and 4.4514.08). RR was also partially supported by the "Communaute Francaise de Belgique" through the ARC program and by the ERC Advanced Grant "SyDuGraM." The work of RR was also supported partially by ERC Grant n.226455 Supersymmetry, Quantum Gravity and Gauge Fields (Superfields), and by James Arthur Graduate Fellowship at New York University. RR is grateful to INFN Pisa, Scuola Normale Superiore and Universite Libre de Bruxelles for hospitality. A.E.C.H was supported by Fondecyt (Chile), Grant No. 11130115 and by DGIP internal Grant No. 111458.

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