6533b874fe1ef96bd12d63ad

RESEARCH PRODUCT

Improved determination of the electroweak penguin contribution to ϵ′/ϵ in the chiral limit

Vincenzo CiriglianoJohn F. DonoghueEugene GolowichKim Maltman

subject

PhysicsNuclear and High Energy PhysicsParticle physicsCurrent (mathematics)010308 nuclear & particles physicsOperator (physics)High Energy Physics::PhenomenologyElectroweak interaction01 natural sciencesDimension (vector space)Consistency (statistics)0103 physical sciencesHigh Energy Physics::ExperimentLimit (mathematics)Sum rule in quantum mechanics010306 general physicsEnergy (signal processing)

description

We perform a finite energy sum rule analysis of the flavor ud two-point V-A current correlator, Delta Pi (Q^2). The analysis, which is performed using both the ALEPH and OPAL databases for the V-A spectral function, Delta rho, allows us to extract the dimension six V-A OPE coefficient, a_6, which is related to the matrix element of the electroweak penguin operator, Q_8, by chiral symmetry. The result for a_6 leads directly to the improved (chiral limit) determination epsilon'/epsilon = (- 15.0 +- 2.7) 10^{-4}. Determination of higher dimension OPE contributions also allows us to perform an independent test using a low-scale constrained dispersive analysis, which provides a highly nontrivial consistency check of the results.

https://doi.org/10.1016/s0370-2693(03)00010-8