Asymptotically Safe Grand Unification

Abstract

Phenomenologically appealing supersymmetric grand unified theories have large gauge representations and thus are not asymptotically free. Their ultraviolet validity is limited by the appearance of a Landau pole well before the Planck scale. One could hope that these theories save themselves, before the inclusion of gravity, by generating an interacting ultraviolet fixed point, similar to the one recently discovered in non-supersymmetric gauge-Yukawa theories. Employing a-maximization, a-theorem, unitarity bounds, as well as positivity of other central charges we nonperturbatively rule out this possibility for a broad class of prime candidates of phenomenologically relevant supersymmetric grand unified theories. We also uncover candidates passing these tests, which have either exotic matter or contain one field decoupled from the superpotential. The latter class of theories contains a model with the minimal matter content required by phenomenology.

1 figure, section on the doublet-triplet problem added, new references, accepted in JHEP

References in corpus (21)

• Conformal Symmetry and the Standard Model
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Asymptotic safety guaranteed
• A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
• Comments on Unparticles
• Scale invariant extension of the standard model with strongly interacting hidden sector
• Fixed points of quantum gravity in extra dimensions
• Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter
• Large N flavor beta-functions: a recap
• Signatures of gravitational fixed points at the LHC
• Asymptotically Safe Cosmology
• New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
• Collider Signals of Gravitational Fixed Points
• Fixed points of quantum gravity in higher dimensions
• The Planck scale, the Higgs mass and scalar dark matter
• Cosmological Signatures of a UV-Conformal Standard Model
• Missing Partner Mechanism in SO(10) Grand Unification
• Probing the small distance structure of canonical quantum gravity using the conformal group
• Inflation from Asymptotically Safe Theories
• A Minimal Supersymmetric ${\mathrm{E}}_6$ Unified Theory

Cited by in corpus (1)

• Framework for an asymptotically safe Standard Model via dynamical breaking