Matrix Elements of 4-fermion Operators with Quenched Wilson Fermions

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dc.creatorGupta, Rajan
dc.creatorBhattacharya, Tanmoy
dc.creatorSharpe, Stephen
dc.date1996-11-22
dc.date1998-09-09
dc.date.accessioned2026-07-07T09:03:08Z
dc.date.available2026-07-07T09:03:08Z
dc.descriptionWe presents results for the matrix elements of a variety of four-fermion operators calculated using quenched Wilson fermions. Our simulations are done on 170 lattices of size $32^3 x 64$ at $β= 6.0$. We find $B_K=0.74 +- 0.04 +- 0.05$, $B_D= 0.78 +- 0.01$, $B_7^{3/2}= 0.58 +- 0.02 {+0.07 \atop -0.03}$, $B_8^{3/2}= 0.81 +- 0.03 {+.03 \atop -0.02}$, with all results being in the NDR scheme at $μ=2 GeV$. We also calculate the B-parameter for the operator $\CQ_s$, which is needed in the study of the difference of B-meson lifetimes. Our best estimate is $B_s(NDR,μ=1/a)=0.80 +- 0.01$. This is given at the lattice scale since the required 2-loop anomalous dimension matrix is not known. In all these estimates, the first error is statistical, while the second is due to the use of truncated perturbation theory to match continuum and lattice operators. Errors due to quenching and lattice discretization are not included. We also present new results for the perturbative matching coefficients, extending the calculation to all Lorentz scalar four-fermion operators, and using NDR as the continuum scheme.
dc.description35 pages. Typos in published version corrected. Makefile and modified "axis" figures included. Latex2e document. Uncomment hyperref if unavailable
dc.identifierhttps://arxiv.org/abs/hep-lat/9611023
dc.identifierhttp://arxiv.org/abs/hep-lat/9611023
dc.identifierPhys.Rev. D55 (1997) 4036-4054
dc.identifierdoi:10.1103/PhysRevD.55.4036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148897
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleMatrix Elements of 4-fermion Operators with Quenched Wilson Fermions
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