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Title: Systematic effects of the quenched approximation on the strong penguin contribution to {epsilon}{sup '}/{epsilon}

Journal Article · · Physical Review. D, Particles Fields
; ;  [1]; ;  [2];  [3];  [3]
  1. Physics Department, Columbia University, New York, New York 10027 (United States)
  2. RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 (United States)
  3. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)

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}{sup '}/{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}{sup '}/{epsilon}. This failure of the quenched approximation affects only the strong penguin operators and so does not affect the Q{sub 8} contribution to {epsilon}{sup '}/{epsilon} nor ReA{sub 0}, ReA{sub 2} and thus, the {delta}I=1/2 rule at tree level in chiral perturbation theory.

OSTI ID:
20869269
Journal Information:
Physical Review. D, Particles Fields, Vol. 74, Issue 3; Other Information: DOI: 10.1103/PhysRevD.74.034510; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English