Karlsruhe 2024 – scientific programme

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T: Fachverband Teilchenphysik

T 85: Methods in astroparticle physics 4

T 85.5: Talk

Thursday, March 7, 2024, 17:00–17:15, Geb. 20.30: 2.067

Use of Moyal and Lambert functions for reconstruction and simulation of PMT signals — •Oleg Kalekin for the ANTARES-KM3NET-ERLANGEN collaboration — ECAP, FAU Erlangen-Nürnberg

Photomultiplier Tubes (PMTs) are widely used in astrophysical experiments as photodetectors. Signals from PMTs have Gaussian like rising edge and exponential like falling edge. Such signals can be fitted with a modified Moyal function with decoupled parameters for rising and falling edges. The solution for the inverse modified Moyal function can be found using a Lambert function. A method for the fast calculation of the Lambert function has been proposed recently by Darko Veberic. Therefore, the analytical Moyal and its inverse functions can be used for simulations of PMT signals including deriving of trigger time or Time-over-Threshold parameters.

Keywords: PMT; Moyal; Lambert