Systematic effects of the quenched approximation on the strong penguin contribution to epsilon-prime / epsilon

Journal Article · Wed Mar 01 04:00:00 EST 2006 · Phys.Rev.D74:034510,2006

DOI:https://doi.org/10.1103/PhysRevD.74.034510· OSTI ID:892513

Aubin, C; Christ, N H; Dawson, C; Laiho, J W; Noaki, J; Li, S; Soni, A

We discuss the implementation and properties of the quenched approximation in the calculation of the left-right, strong penguin contributions (i.e. Q{sub 6}) to {epsilon}{prime}/{epsilon}. The coefficient of the new chiral logarithm, discovered by Golterman and Pallante, which appears at leading order in quenched chiral perturbation theory is evaluated using both the method proposed by those authors and by an improved approach which is free of power divergent corrections. The result implies a large quenching artifact in the contribution of Q{sub 6} to {epsilon}{prime}/{epsilon}. This failure of the quenched approximation affects only the strong penguin operators and so does not affect the Q8 contribution to {epsilon}{prime}/{epsilon} nor ReA{sub 0}, ReAP{sub 2} and thus, the {Delta}I = 1/2 rule at tree level in chiral perturbation theory.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 892513
• Report Number(s): FERMILAB-PUB-05-062-T; arXiv eprint number hep-lat/0603025
• Journal Information: Phys.Rev.D74:034510,2006, Journal Name: Phys.Rev.D74:034510,2006
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
IMPLEMENTATION
Lattice
PERTURBATION THEORY
QUENCHING
TREES