ASYMPTOTIC SAFETY, HYPERGEOMETRIC FUNCTIONS, AND THE HIGGS MASS IN SPECTRAL ACTION MODELS

作者:Estrada Christopher*; Marcolli Matilde
来源:International Journal of Geometric Methods in Modern Physics, 2013, 10(7): 1350036.
DOI:10.1142/S0219887813500369

摘要

We study the renormalization group flow for the Higgs self-coupling in the presence of gravitational correction terms. We show that the resulting equation is equivalent to a singular linear ODE, which has explicit solutions in terms of hypergeometric functions. We discuss the implications of this model with gravitational corrections on the Higgs mass estimates in particle physics models based on the spectral action functional.

  • 出版日期2013-8