A precise definition of the Standard Model

TL;DR

This paper defines the Standard Model precisely within quantum 4D Minkowski space-time, emphasizing its built-in gauge-group structure and the dimensionless nature of fundamental interactions, supported by cosmic microwave background evidence.

Contribution

It provides a detailed, precise formulation of the Standard Model's gauge-group structure and highlights its dimensionless couplings in Minkowski space-time, connecting cosmological observations to fundamental physics.

Findings

The gauge-group structure is built-in from the beginning.

All couplings are dimensionless in 4D Minkowski space-time.

CMB evidence supports the built-in gauge structure.

Abstract

We declare that we are living in the quantum 4-dimensional Minkowski space-time with the force-fields gauge-group structure $SU_c(3) \times SU_L(2) \times U(1) \times SU_f(3)$ built-in from the very beginning. From this overall background, we see the lepton world, which has the symmetry characterized by $SU_L(2) \times U(1) \times SU_f(3)$ - the lepton world is also called "the atomic world". From the overall background, we also see the quark world, which experiences the well-known $(123)$ symmetry, i.e., $SU_c(3) \times SU_L((2) \times U(1)$. The quark world is also called "the nuclear world". The $3^\circ\,K$ cosmic microwave background (CMB) in our Universe provides the evidence of that "the force-fields gauge-group structure was built-in from the very beginning". The CMB is almost uniform, to the level of one part in $10^5$, reflecting the massless of the photons. The lepton world is dimensionless in the 4-dimensional Minkowski space-time. That is, all couplings are dimensionless. The quark world is also dimensionless in the 4-dimensional Minkowski space-time. Apart from the "ignition" term, the gauge and Higgs sector, i.e., the overall background, is also dimensionless. Thus, apart the "ignition" term, our world as a whole is dimensionless in the 4-dimensional Minkowski space-time - that is, it is the characteristic of the quantum 4-dimensional Minkowski space-time.