Deconvolving the detector in Fourier space

17th International Workshop on Advanced Computing and Analysis Techniques in Physics Research

物理学;计算机科学

Boudreau, Joseph^1 ; Escobar, Carlos^1 ; Mueller, James^1 ; Su, Jun^1

Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh

PA

15260, United States^1

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

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/762/1/012041/pdf
DOI  :  10.1088/1742-6596/762/1/012041

学科分类：计算机科学（综合）

来源: IOP

【 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.