26 research outputs found

    Series expansions of the percolation probability for directed square and honeycomb lattices

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    We have derived long series expansions of the percolation probability for site and bond percolation on directed square and honeycomb lattices. For the square bond problem we have extended the series from 41 terms to 54, for the square site problem from 16 terms to 37, and for the honeycomb bond problem from 13 terms to 36. Analysis of the series clearly shows that the critical exponent ÎČ\beta is the same for all the problems confirming expectations of universality. For the critical probability and exponent we find in the square bond case, qc=0.3552994±0.0000010q_c = 0.3552994\pm 0.0000010, ÎČ=0.27643±0.00010\beta = 0.27643\pm 0.00010, in the square site case qc=0.294515±0.000005q_c = 0.294515 \pm 0.000005, ÎČ=0.2763±0.0003\beta = 0.2763 \pm 0.0003, and in the honeycomb bond case qc=0.177143±0.000002q_c = 0.177143 \pm 0.000002, ÎČ=0.2763±0.0002\beta = 0.2763 \pm 0.0002. In addition we have obtained accurate estimates for the critical amplitudes. In all cases we find that the leading correction to scaling term is analytic, i.e., the confluent exponent Δ=1\Delta = 1.Comment: LaTex with epsf, 26 pages, 2 figures and 2 tables in Postscript format included (uufiled). LaTeX version of tables also included for the benefit of those without access to PS printers (note that the tables should be printed in landscape mode). Accepted by J. Phys.

    Measurement of the inclusive cross-section for the production of jets in association with a Z boson in proton-proton collisions at 8 TeV using the ATLAS detector

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    The inclusive cross-section for jet production in association with a Z boson decaying into an electron–positron pair is measured as a function of the transverse momentum and the absolute rapidity of jets using 19.9 fb −1 of s√=8 TeV proton–proton collision data collected with the ATLAS detector at the Large Hadron Collider. The measured Z + jets cross-section is unfolded to the particle level. The cross-section is compared with state-of-the-art Standard Model calculations, including the next-to-leading-order and next-to-next-to-leading-order perturbative QCD calculations, corrected for non-perturbative and QED radiation effects. The results of the measurements cover final-state jets with transverse momenta up to 1 TeV, and show good agreement with fixed-order calculations

    Jets and energy flow in photon-proton collisions at HERA

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    Resolution of the ATLAS muon spectrometer monitored drift tubes in LHC Run 2

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    The momentum measurement capability of the ATLAS muon spectrometer relies fundamentally on the intrinsic single-hit spatial resolution of the monitored drift tube precision tracking chambers. Optimal resolution is achieved with a dedicated calibration program that addresses the specific operating conditions of the 354000 high-pressure drift tubes in the spectrometer. The calibrations consist of a set of timing offsets and drift time to drift distance transfer relations, and result in chamber resolution functions. This paper describes novel algorithms to obtain precision calibrations from data collected by ATLAS in LHC Run 2 and from a gas monitoring chamber, deployed in a dedicated gas facility. The algorithm output consists of a pair of correction constants per chamber which are applied to baseline calibrations, and determined to be valid for the entire ATLAS Run 2. The final single-hit spatial resolution, averaged over 1172 monitored drift tube chambers, is 81.7±2.2Ό81.7 \pm 2.2 \mum

    Measurements of electroweak Wjj production and constraints on anomalous gauge couplings with the ATLAS detector

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    Measurements of the electroweak production of a W boson in association with two jets at high dijet invariant mass are performed using root s = 7 and 8 TeV proton-proton collision data produced by the Large Hadron Collider, corresponding respectively to 4.7 and 20.2 fb(-1) of integrated luminosity collected by the ATLAS detector. The measurements are sensitive to the production of a W boson via a triple-gauge-boson vertex and include both the fiducial and differential cross sections of the electroweak process

    Analyzing epsilon'/epsilon in the 1/N_c Expansion

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    Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome; Istituto Nazionale di Fisica Nucleare, Via E. Fermi, 40 -Frascati - Rome / CNR - Consiglio Nazionale delle RichercheSIGLEITItal
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