Safe trinification

Abstract

In this work, we provide a UV safe Trinification theory in which the Standard Model is embedded. Using recently developed large number-of-flavor techniques, safety is achieved by adding to the theory gauged vector-like fermions. We find that all gauge, scalar quartic, and Yukawa couplings achieve an interacting ultraviolet fixed point below the Planck scale. We find renormalization group flow solutions matching the Standard Model in the IR, indicating a truly UV completion of the Standard Model. Imposing constraints that realistic Higgs, top, bottom, tau and reasonable neutrino masses are recovered, we find the set of allowed solutions to be quite restrictive. Furthermore, the symmetry breaking scale is predicted to be around 10 TeV, making this model vulnerable to experiment.

Predictive power of grand unification from quantum gravity

“…The recent renewed interest in GUTs, see, e.g., [94], and [95] for a recent review, includes the exploration of asymptotic safety in GUTs without gravity [96][97][98][99] as well as the coupling of asymototically free GUTs [100] to quadratic gravity [101][102][103][104][105]. Throughout this paper, we will focus on the non-supersymmetric case whenever we discuss specific examples.…”

Testing Lorentz Invariance Violation at the Pierre Auger Observatory

“…Potential LIV signatures are expected from several different astrophysical contexts. Previous studies have searched for LIV signals using distinct results, such as the time of flight of photons generated in gamma-ray bursts [2,3,4], modulations of the energy spectrum in TeV gamma-rays [5,6,7] and ultra-high energy cosmic rays (UHECR) [8,9], and upper limits on the flux of EeV photons [10,11]. No LIV signal has yet been found [1] and, thus, restrictive limits on the violation have been set [12].…”

Effective Asymptotic Safety and Its Predictive Power: Gauge-Yukawa Theories

“…On the other hand, it has been of paramount interest to identify fundamental, i.e., ultraviolet (UV) complete, quantum field theories in which the cutoff can be removed-first asymptotically free [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21], and more recently, asymptotically safe gauge-Yukawa theories. See also [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58] (with potential caveats discussed in [59][60][61]) for asymptotically safe gauge-Yukawa theories from resummation at a large number of matter fields and [62] for a recent review including lattice results.…”