On the consistency of a non-Hermitian Yukawa interaction

TY - JOUR

T1 - On the consistency of a non-Hermitian Yukawa interaction

AU - Alexandre, Jean

AU - Mavromatos, Nick E.

N1 - 7 pages, comments added

PY - 2020/6/23

Y1 - 2020/6/23

N2 - We study different properties of an anti-Hermitian Yukawa interaction, motivated by a scenario of radiative anomalous generation of masses for the right-handed sterile neutrinos. The model, involving either a pseudo-scalar or a scalar, is consistent both at the classical and quantum levels, and particular attention is given to its properties under improper Lorentz transformations. The path integral is consistently defined with a Euclidean signature, and we discuss the energetics of the model, including the options for dynamical mass generation.

AB - We study different properties of an anti-Hermitian Yukawa interaction, motivated by a scenario of radiative anomalous generation of masses for the right-handed sterile neutrinos. The model, involving either a pseudo-scalar or a scalar, is consistent both at the classical and quantum levels, and particular attention is given to its properties under improper Lorentz transformations. The path integral is consistently defined with a Euclidean signature, and we discuss the energetics of the model, including the options for dynamical mass generation.

KW - hep-ph

KW - hep-th

UR - http://www.scopus.com/inward/record.url?scp=85086707144&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2020.135562

DO - 10.1016/j.physletb.2020.135562

M3 - Article

SN - 0370-2693

VL - 807

JO - Physics Letters B

JF - Physics Letters B

M1 - 135562

ER -