Top mass from asymptotic safety

Abstract

We discover that asymptotically safe quantum gravity could predict the top-quark mass. For a broad range of microscopic gravitational couplings, quantum gravity could provide an ultraviolet completion for the Standard Model by triggering asymptotic freedom in the gauge couplings and bottom Yukawa and asymptotic safety in the top-Yukawa and Higgs-quartic coupling. We find that in a part of this range, a difference of the top and bottom mass of approximately $170\mathrm{GeV}$ is generated and the Higgs mass is determined in terms of the top mass. Assuming no new physics below the Planck scale, we construct explicit Renormalization Group trajectories for Standard Model and gravitational couplings which link the transplanckian regime to the electroweak scale and yield a top pole mass of $M_{\text{t,pole}}\approx 171\mathrm{GeV}$.

arXiv commentMatches version accepted in Phys. Lett. B; counting of degrees of freedom in Eq.(7) changed, resulting in M_t=171 GeV and M_h=132 GeV; conclusions unchanged

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