Nonlocal SU(5) GUT

Abstract

We show that in nonlocal generalization of standard nonsupersymmetric SU(5) GUT it is possible to solve the problems with the proton lifetime and the Weinberg angle without introduction of additional particles in the spectrum of the theory. Non-local scale responsible for ultraviolet cutoff coincides (up to some factor) with GUT scale. We find that in the simplest nonlocal modification of the SU(5) model $M_{\rm GUT} = 3 * 10^{16}$ GeV . In general case the value of M_GUT is an arbitrary and the most interesting option $M_{\rm GUT} = O(M_{\rm PL})$ could be realized.