Lorentz Violation in the Higgs Sector and Noncommutative Standard Model

TL;DR

This paper investigates Lorentz violation in the Higgs sector within the noncommutative standard model, establishing a direct relation between Lorentz-violating parameters and the noncommutative parameter, leading to improved bounds.

Contribution

It provides a direct expression of Lorentz-violating parameters in terms of the noncommutative parameter without background fields, refining bounds on noncommutativity.

Findings

Lorentz violating parameters are directly related to the noncommutative parameter.

Absence of background fields strengthens bounds on noncommutative parameters.

Comparison with standard model extension clarifies Lorentz violation effects.

Abstract

The noncommutative standard model apparently violates the Lorentz symmetry. We compare the Lorentz violating terms in the Higgs sector of the noncommutative standard model with their counterparts in the standard model extension. We show that the Lorentz violating parameters in the Higgs sector can be expressed directly in terms of the noncommutative parameter without any background field. The absence of the background field enhances the obtained bounds on the noncommutative parameter from the standard model extension.