Deconvolving the detector in Fourier space

[摘要] We discuss algorithms for the analysis of hadronic final states, with application to single top t-channel production, heavy Higgs decaying as H → W+W-in the lepton plus jets mode, and others. In our examples, nature has arranged for the triple differential decay rates in angles we call θ1, θ2, φ to be a short finite series in orthogonal functions, √2πamk,lYmk(θ1, φ)Yml(θ2, 0) (summation implied), where the amk,lare complex constants. This observation can be exploited in two ways; first, a technique called orthogonal series density estimation may be employed to extract coefficients amk,lof the decay and physics parameters related to these coefficients; second, an angular analog of the convolution theorem may be employed to analytically deconvolve detector resolution effects from an observed signal.

[发布机构] Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh; PA; 15260, United States^1

[效力级别] 计算机科学 [学科分类] 计算机科学（综合）

[关键词] Convolution theorems;Density estimation;Detector resolution;Differential decays;Final state;Finite series;Fourier space;Orthogonal series