Parametrization of atmospheric muon angular flux underwater

Abstract

We present the formula for angular distribution of integral flux of conventional (π, K) muons deep under water taking into account the sphericity of the atmosphere and fluctuations of muon energy losses. The accuracy of this formula for various sea level muon spectra is discussed. The possibility of reconstructing two parameters of sea level spectrum by fitting measured underwater angular intensity is shown for Baikal Neutrino Telescope NT-36 experimental data.

MUM: Flexible precise Monte Carlo algorithm for muon propagation through thick layers of matter

“…[40] and by S. Klimushin et al in Ref. [33] (from here on will call them "the Okada parameterization" and "the KBS parameterization", correspondingly) are shown. The KBS parameterization can adopt different models for sea level atmospheric muon spectrum.…”

“…[41]) which leads to a deficit for low energy muons comparing to the basic KBS parameterization. [33]) with sea level atmospheric muon spectra Eq. (4.1) (basic), from Ref.…”

“…Data for this work are obtained for sea level atmospheric muon spectrum from Ref. [33] (Eq. (4.1)) and vcut = 10 −3 ; data from Ref.…”

High energy leptons from muons in transit

“…The effective cosine, cos ÃÃ , takes into account the spherical geometry of the atmosphere and is given by [31] cos ÃÃ ¼ SðÞ cos Ã…”

“…[31]. An additional contribution to the atmospheric flux comes from heavy flavor particle production and decay in the atmosphere, the so-called prompt flux.…”