6533b82cfe1ef96bd128f353

RESEARCH PRODUCT

Definition of theΔmass and width

Jambul GegeliaJambul GegeliaStefan SchererDalibor Djukanovic

subject

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsField (physics)Quantum mechanicsEffective field theoryPropagatorOrder (ring theory)Invariant massParametrizationResonance (particle physics)

description

In the framework of effective field theory we show that, at two-loop order, the mass and width of the $\ensuremath{\Delta}$ resonance defined via the (relativistic) Breit-Wigner parametrization both depend on the choice of field variables. In contrast, the complex-valued position of the pole of the propagator is independent of this choice.

https://doi.org/10.1103/physrevd.76.037501