Variable Planck mass from the gauge invariant flow equation
High Energy Physics - Theory
2019-09-17 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
Using the gauge invariant flow equation for quantum gravity we compute how the strength of gravity depends on the length or energy scale. The fixed point value of the scale-dependent Planck mass in units of the momentum scale has an important impact on the question, which parameters of the Higgs potential can be predicted in the asymptotic safety scenario for quantum gravity? For the standard model and a large class of theories with additional particles the quartic Higgs coupling is an irrelevant parameter at the ultraviolet fixed point. This makes the ratio between the Higgs boson and the top-quark mass predictable.
Cite
@article{arxiv.1906.01721,
title = {Variable Planck mass from the gauge invariant flow equation},
author = {Christof Wetterich and Masatoshi Yamada},
journal= {arXiv preprint arXiv:1906.01721},
year = {2019}
}
Comments
43 pages, 11 figures, version published in PRD