# Ultraviolet Complete Quantum Field Theory and Particle Model

## TL;DR

This paper introduces an ultraviolet complete quantum field theory for the standard model that employs infinite derivative functions to ensure finiteness, unitarity, and Poincaré invariance, eliminating the need for spontaneous symmetry breaking.

## Contribution

It presents a novel finite quantum field theory framework that naturally incorporates observed particle masses without relying on the Higgs mechanism.

## Key findings

- Finite quantum loops due to entire functions
- Resolution of the hierarchy naturalness problem
- Predictions for experimental tests to distinguish models

## Abstract

An ultraviolet complete particle model is constructed for the observed particles of the standard model. The quantum field theory associates infinite derivative entire functions with propagators and vertices, which make quantum loops finite and maintain Poincar\'e invariance and unitarity of the model. The electroweak model $SU(2)\times U(1)$ group is treated as a broken symmetry group with non-vanishing experimentally determined boson and fermion masses. A spontaneous symmetry breaking of the vacuum by a scalar Higgs field is not invoked to restore boson and fermion masses to the initially massless $SU(2)\times U(1)$ Lagrangian of the standard model. The hierarchy naturalness problem of the Higgs boson mass is resolved and the model contains only experimentally observed masses and coupling constants. The model can predict a stable vacuum evolution. Experimental tests to distinguish the standard model from the alternative model are proposed. The finite quantum field theory can be extended to quantum gravity.