Renormalization-group evolution of the gluonic CP -violating operator

Journal Article · Mon Apr 01 00:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.2233· OSTI ID:5608542

Bagan, E ^[1]; Mann, R B; Steele, T G ^[2]; Sarkar, U ^[3]

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1. Department of Applied Math and Theoretical Physics, Cambridge University, Silver Street, Cambridge, CB39EW, United Kingdom (GB)
2. Guelph-Waterloo Program for Graduate Work in Physics Department of Physics, University of Waterloo, Waterloo, Ontario, (Canada)
3. Theory Group, Physical Research Laboratory, Navrangpura, Ahmedabad, (India)

The QCD evolution of the dimension-6 {ital CP}-violating operator {ital G}{sup 3}=({ital g}/2){ital f}{sup {ital a}{ital b}{ital c}}{epsilon}{sup {alpha}{beta}{gamma}{delta}}{ital G}{sub {alpha}{tau}}{sup {ital a}} {ital G}{sub g}b{sup {ital b}{tau}}{ital G}{sub {gamma}{delta}}{sup {ital c}} is determined using a nonzero-momentum insertion of the composite operator, explicitly accounting for operator mixing in the renormalization of {ital G}{sup 3}. Cancellation of the gauge parameter from the anomalous dimension of {ital G}{sup 3} is used as a consistency check on the final results. A strong QCD suppression of the {ital CP}-violating effects in the neutron electric dipole moment is confirmed, contrary to initial claims of an enhancement.

• OSTI ID: 5608542
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 43:7; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GLUONS
CP INVARIANCE
NEUTRONS
ELECTRIC DIPOLE MOMENTS
QUANTUM CHROMODYNAMICS
GAUGE INVARIANCE
HIGGS BOSONS
MANY-DIMENSIONAL CALCULATIONS
RENORMALIZATION
U-1 GROUPS
ULTRAVIOLET DIVERGENCES
BARYONS
BOSONS
DIPOLE MOMENTS
ELECTRIC MOMENTS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
INVARIANCE PRINCIPLES
LIE GROUPS
NUCLEONS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SYMMETRY GROUPS
U GROUPS
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