Lepton charge and neutrino mixing in pion decay processes

Blasone, Massimo; Capolupo, Antonio; Terranova, F.; Vitiello, Giuseppe

doi:10.1103/physrevd.72.013003

Cited by 47 publications

(60 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We compute such a value and show that the condensate could give rise also to the dark matter component of the Universe, besides the accelerating one. Our discussion and conclusions rest on the QFT formalism for particle mixing, which has been extensively discussed in recent years in the literature [12,13,14,15,16,17,18]. For the reader convenience we summarize it in the Appendix A.…”

Section: Introductionmentioning

confidence: 99%

Dark energy and particle mixing

2009

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Dark energy and particle mixing

2009

View full text Add to dashboard Cite

show abstract

“…On this basis, we study the flavor states for mixed neutrinos in the QFT formalism [1]- [7] and in the Pontecorvo formalism [8]- [11]. We show that Pontecorvo mixed states are not eigenstates of the neutrino flavor charges and we estimate how much the leptonic charge is violated on these states.…”

mentioning

confidence: 99%

On flavor violation for massive and mixed neutrinos

Blasone

Capolupo

et al. 2009

Nuclear Physics B - Proceedings Supplements

View full text Add to dashboard Cite

We discuss flavor charges and states for interacting mixed neutrinos in QFT. We show that the Pontecorvo states are not eigenstates of the flavor charges. This implies that their use in describing the flavor neutrinos produces a violation of lepton charge conservation in the production/detection vertices. The flavor states defined as eigenstates of the flavor charges give the correct representation of mixed neutrinos in charged current weak interaction processes.In this report we analyze the definition of the flavor charges in the canonical formalism for interacting (Dirac) neutrinos with mixing. On this basis, we study the flavor states for mixed neutrinos in the QFT formalism [1]- [7] and in the Pontecorvo formalism [8]- [11]. We show that Pontecorvo mixed states are not eigenstates of the neutrino flavor charges and we estimate how much the leptonic charge is violated on these states.A realistic description of flavor neutrinos starts by taking into account the (charged current) weak interaction processes in which they are created, together with their charged lepton counterparts. In the Standard Model, flavor is strictly conserved in the production and detection vertices of such interactions. The flavor violations are due only to loop corrections and are thus expected to be extremely small [12]. Therefore, we define the flavor neutrino states as eigenstates of flavor charges. This is obtained in a QFT treatment where the flavor charges are defined in the usual way from the symmetry properties of the neutrino Lagrangian.Here we consider the decay process W + → e + + ν e and we study the case where the neutrino mixing is present. We consider for simplicity the case of two generations. After spontaneous symmetry breaking, the relevant terms of the Lagrangian density for charged current weak inter-includes the neutrino non-diagonal mass matrix M ν and the mass matrix of charged leptons M l :L int is the interaction Lagrangian given by [13]

show abstract

“…For simplicity we restrict ourselves to the two flavor case [12]. Extension to three flavors can be found in ref.…”

Section: Neutrino Mixing In Quantum Field Theorymentioning

confidence: 99%