Tying in CP and flavor violations with fermion masses and neutrino oscillations

Journal Article · Sat Jan 01 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.015005· OSTI ID:20705745

Babu, K S ^[1]; Pati, Jogesh C; Rastogi, Parul ^[2]

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1. Oklahoma Center for High Energy Physics, Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078 (United States)
2. Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)

In this paper we explore the possibility that (a) fermion masses, (b) neutrino oscillations, (c) CP nonconservation, and (d) flavor violations get intimately linked to each other within supersymmetric grand unification based on SO(10) or an effective G(224)=SU(2){sub L}xSU(2){sub R}xSU(4){sup c} symmetry. We extend the framework proposed previously by Babu, Pati, and Wilczek which successfully described fermion masses and neutrino oscillations, to include CP violation. Assuming flavor universal SUSY-breaking parameters at M* > or approx. M{sub GUT}, and that CP violation arises through phases in the fermion mass matrices, we show how the presence of a grand unified theory threshold induces new and calculable CP and flavor violations. Including standard model (SM) and SUSY contributions, we find that the Babu, Pati, and Wilczek framework can correctly account for the observed flavor and/or CP violations in {delta}m{sub K}, {delta}m{sub B{sub d}}, S(B{sub d}{yields}J/{psi}K{sub S}), and {epsilon}{sub K}. While SUSY contribution is small (< or approx. a few percent) for the first three quantities, for {epsilon}{sub K} it is sizable ({approx}20%-25%) and negative (as desired) compared to that of the SM. The model predicts S(B{sub d}{yields}{phi}K{sub S}) to be in the range +(0.65-0.73), close to the SM prediction. The model yields Re({epsilon}{sup '}/{epsilon}){sub SUSY}{approx_equal}+(4-14)x10{sup -4}; the relevance of this contribution can be assessed only when the associated matrix elements are known reliably. The model also predicts that the electric dipole moments of the neutron and the electron should be discovered with improvements in current limits by factors of 10 to 100.

• OSTI ID: 20705745
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B MESONS
CP INVARIANCE
ELECTRIC DIPOLE MOMENTS
ELECTRONS
FLAVOR MODEL
HADRONIC PARTICLE DECAY
KAONS
MATRICES
MATRIX ELEMENTS
NEUTRINO OSCILLATION
NEUTRONS
QUARKS
REST MASS
SO-10 GROUPS
STANDARD MODEL
SU-2 GROUPS
SU-4 GROUPS
SUPERSYMMETRY
SYMMETRY BREAKING