Eliminating the CPT-Odd f Coefficient from the Lorentz-Violating Standard Model Extension

TL;DR

This paper demonstrates that the fermionic f coefficient in the Lorentz-violating standard model extension is redundant, as it has no observable effects and can be absorbed into other coefficients through field redefinition.

Contribution

It proves that the f coefficient is unnecessary and can be eliminated, simplifying the Lorentz-violating standard model extension.

Findings

f coefficient has no leading-order effects

f can be absorbed into other coefficients

no observable effects of f found

Abstract

The fermionic f coefficient in the Lorentz-violating standard model extension presents a puzzle. Thus far, no observable quantity that depends upon f has ever been found. We show that this is because f is actually unnecessary. It has absolutely no effects at leading order and can be completely absorbed into other coefficients of the theory by a redefinition of the field.