Trying to understand the standard model parameters

Abstract

We stress the importance of the circa 20 parameters in the Standard Model, which are not fixed by the model but only determined experimentally, as a window to the physics beyond the Standard Model. However, it is a tiny window in as far as these numbers contain only the information corresponding to about one line of text. Looking for a method to study these coupling and mass parameters, we put forward the idea of the Multiple Point Principle as a first step. This principle states that Nature adjusts the coupling and mass parameters so as to make many different vacuum states exist and have approximately the same energy densities (cosmological constants). As an illustrative application, we put up the proposal that a small increase (maybe only an infinitesimal one) in the value of the top quark coupling constant could lead to a new vacuum phase; in this new phase the binding of a bound state of 6 top quarks and 6 anti-top quarks becomes so strong as to become a tachyon and condense in the vacuum. Assuming the existence of a third degenerate vacuum at the fundamental energy scale, we present a solution to the hierarchy problem of why the ratio of the fundamental scale to the electroweak scale is so large. We also present a 5 parameter fit to the orders of magnitude of the quark-lepton masses and mixing angles in the Family Replicated Gauge Group Model. In this model, the Standard Model gauge group and a gauged B-L (baryon number minus lepton number) is extended to one set of gauge fields for each family of fermions.