# Mean Field Phase Diagram of SU(2)xSU(2) Lattice Higgs-Yukawa Model at Finite Lambda

## TL;DR

This paper constructs the phase diagram of an SU(2)_L x SU(2)_R lattice Higgs-Yukawa model at finite lambda using mean field theory, revealing how the paramagnetic region shrinks with decreasing lambda while phase transition order remains unchanged.

## Contribution

It provides the first mean field analysis of the phase diagram at finite lambda, highlighting the effects of finite lambda on phase structure and transition order.

## Key findings

- Paramagnetic region shrinks as lambda decreases
- Phase transitions remain second order at small lambda
- No new first order transitions observed at finite lambda

## Abstract

The phase diagram of an SU(2)_L x SU(2)_R lattice Higgs-Yukawa model with finite lambda is constructed using mean field theory. The phase diagram bears a superficial resemblance to that for infinite lambda, however as lambda is decreased the paramagnetic region shrinks in size. For small lambda the phase transitions remain second order, and no new first order transitions are seen.