Classical Scalar Field Potential in the Standard Model

TL;DR

This paper explores scalar field potentials in the Standard Model that generate particle masses while maintaining the model's symmetry, discussing minimal parameter choices and phenomenological implications.

Contribution

It introduces a class of scalar potentials compatible with the Standard Model's symmetry and minimal parameters, analyzing their phenomenological consequences.

Findings

Scalar potentials can generate gauge boson and fermion masses without altering the electroweak sector.

Minimality principle reduces free parameters in scalar potential models.

Different potential choices lead to distinct phenomenological predictions.

Abstract

The mechanism of particle mass generation in the Standard Model is discussed. It is shown that non-zero vacuum expectation value of a scalar field together with the proper symmetry of the Lagrangian allow a certain class of scalar field potentials providing generation of gauge boson and fermion masses and keeping the electroweak sector of the model unchanged. Applying the minimality principle and certain additional conditions one can reduce the number of free parameters in the model. Possible phenomenological consequences in the scalar sector for different choices of the potential are discussed.