CP violation in lepton number violating semihadronic decays of K,D,Ds,B,Bc

Gorazd Cvetič, Choong Sun Kim, Jilberto Zamora-Saá

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We study the CP violation in lepton-number-violating meson decays M±→1±2±M′, where M and M′ are pseudoscalar mesons, M=K,D,Ds,B,Bc and M′=π,K,D,Ds, and the charged leptons are 1,2=e,μ. It turns out that the CP-violating difference S-(M) ≡[Γ(M-→1-2-M′+)-Γ(M+→1+2+M′-)] can become appreciable when two intermediate on-shell Majorana neutrinos Nj (j=1,2) participate in these decays. Our calculations show that the asymmetry becomes largest when the masses of N1 and N2 are almost degenerate, i.e., when the mass difference ΔMN becomes comparable with the (small) decay widths ΓN of these neutrinos: ΔMNΓN. We show that in such a case, the CP ratio ACP(M)≡[Γ(M-→1-2-M′+)-Γ(M+→1+2+M′-)]/ [Γ(M-→1-2-M′+)+Γ(M+→1+2+M′-)] becomes a quantity ∼1. The observation of CP violation in these decays would be consistent with the existence of the well-motivated νMSM model with two almost degenerate heavy neutrinos in the mass range MN∼0.1-101GeV.

Original languageEnglish
Article number093012
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume89
Issue number9
DOIs
Publication statusPublished - 2014 May 13

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CP violation
leptons
neutrinos
decay
mesons
MSM (semiconductors)
asymmetry

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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title = "CP violation in lepton number violating semihadronic decays of K,D,Ds,B,Bc",
abstract = "We study the CP violation in lepton-number-violating meson decays M±→1±2±M′, where M and M′ are pseudoscalar mesons, M=K,D,Ds,B,Bc and M′=π,K,D,Ds, and the charged leptons are 1,2=e,μ. It turns out that the CP-violating difference S-(M) ≡[Γ(M-→1-2-M′+)-Γ(M+→1+2+M′-)] can become appreciable when two intermediate on-shell Majorana neutrinos Nj (j=1,2) participate in these decays. Our calculations show that the asymmetry becomes largest when the masses of N1 and N2 are almost degenerate, i.e., when the mass difference ΔMN becomes comparable with the (small) decay widths ΓN of these neutrinos: ΔMNΓN. We show that in such a case, the CP ratio ACP(M)≡[Γ(M-→1-2-M′+)-Γ(M+→1+2+M′-)]/ [Γ(M-→1-2-M′+)+Γ(M+→1+2+M′-)] becomes a quantity ∼1. The observation of CP violation in these decays would be consistent with the existence of the well-motivated νMSM model with two almost degenerate heavy neutrinos in the mass range MN∼0.1-101GeV.",
author = "Gorazd Cvetič and Kim, {Choong Sun} and Jilberto Zamora-Sa{\'a}",
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CP violation in lepton number violating semihadronic decays of K,D,Ds,B,Bc. / Cvetič, Gorazd; Kim, Choong Sun; Zamora-Saá, Jilberto.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 89, No. 9, 093012, 13.05.2014.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Cvetič, Gorazd

AU - Kim, Choong Sun

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N2 - We study the CP violation in lepton-number-violating meson decays M±→1±2±M′, where M and M′ are pseudoscalar mesons, M=K,D,Ds,B,Bc and M′=π,K,D,Ds, and the charged leptons are 1,2=e,μ. It turns out that the CP-violating difference S-(M) ≡[Γ(M-→1-2-M′+)-Γ(M+→1+2+M′-)] can become appreciable when two intermediate on-shell Majorana neutrinos Nj (j=1,2) participate in these decays. Our calculations show that the asymmetry becomes largest when the masses of N1 and N2 are almost degenerate, i.e., when the mass difference ΔMN becomes comparable with the (small) decay widths ΓN of these neutrinos: ΔMNΓN. We show that in such a case, the CP ratio ACP(M)≡[Γ(M-→1-2-M′+)-Γ(M+→1+2+M′-)]/ [Γ(M-→1-2-M′+)+Γ(M+→1+2+M′-)] becomes a quantity ∼1. The observation of CP violation in these decays would be consistent with the existence of the well-motivated νMSM model with two almost degenerate heavy neutrinos in the mass range MN∼0.1-101GeV.

AB - We study the CP violation in lepton-number-violating meson decays M±→1±2±M′, where M and M′ are pseudoscalar mesons, M=K,D,Ds,B,Bc and M′=π,K,D,Ds, and the charged leptons are 1,2=e,μ. It turns out that the CP-violating difference S-(M) ≡[Γ(M-→1-2-M′+)-Γ(M+→1+2+M′-)] can become appreciable when two intermediate on-shell Majorana neutrinos Nj (j=1,2) participate in these decays. Our calculations show that the asymmetry becomes largest when the masses of N1 and N2 are almost degenerate, i.e., when the mass difference ΔMN becomes comparable with the (small) decay widths ΓN of these neutrinos: ΔMNΓN. We show that in such a case, the CP ratio ACP(M)≡[Γ(M-→1-2-M′+)-Γ(M+→1+2+M′-)]/ [Γ(M-→1-2-M′+)+Γ(M+→1+2+M′-)] becomes a quantity ∼1. The observation of CP violation in these decays would be consistent with the existence of the well-motivated νMSM model with two almost degenerate heavy neutrinos in the mass range MN∼0.1-101GeV.

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