A QED Shower Including the Next-to-Leading Order Logarithmic Correction in e^+e^- Annihilation

概要

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We develop an event generator, NLL-QEDPS, based on the QED shower including the next-to-leading order logarithmic correction in e^+e^- annihilation. The shower model is a Monte Carlo technique to solve the renormalization group equation so that contributions of α^m log^n(S/m^2_e) can be calculated for any m and n systematically. Here α is the QED coupling, m_e is the mass of the electron, and S is the square of the total energy in the e^+e^- system. While the previous QEDPS is limited to the leading order logarithmic approximation, which includes only contributions of the form (αlog(S/m^2_e))^n, the model developed here contains terms of the form α(αlog(S/m^2_e))^n, the the next-to-leading order logarithmic correction. The shower model is formulated for the initial radiation in e^+e^- annihilation. The generator based on this model gives us events with q^2, which is a virtual mass squared of the virtual photon and/or Z-boson, to an accuracy of 0.04%, except for small q^2/S.
理論物理学刊行会の論文
2000-03-25