One-loop matching of improved four-fermion staggered operators with an improved gluon action

Journal Article · Sun May 01 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.094503· OSTI ID:21541623

Kim, Jongjeong ^[1]; Lee, Weonjong ^[2]; Sharpe, Stephen R ^[3]

---

1. Physics Department, University of Arizona, Tucson, Arizona 85721 (United States)
2. Lattice Gauge Theory Research Center, FPRD, and CTP Department of Physics and Astronomy, USA Seoul National University, Seoul, 151-747 (Korea, Republic of)
3. Physics Department, University of Washington, Seattle, Washington 98195-1560 (United States)

We present results for one-loop matching factors of four-fermion operators composed of HYP-smeared staggered fermions. We generalize previous calculations by using the tree-level improved Symanzik gauge action. These results are needed for our companion numerical calculation of B{sub K} and related matrix elements. We find that the impact on one-loop matching factors of using the improved gluon action is much smaller than that from the use of either HYP-smearing or mean-field improvement. The one-loop coefficients for mean-field improved, HYP-smeared operators with the Symanzik gauge action have a maximum magnitude of O(1)x{alpha}{sub s}, indicating that perturbation theory is reasonably convergent.

• OSTI ID: 21541623
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPUTERIZED SIMULATION
FERMIONS
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
MATRIX ELEMENTS
MEAN-FIELD THEORY
PERTURBATION THEORY
SIMULATION