Modified Weibull and Tsallis Distributions for multiplicities in $e^{+}e^{-}$ collisions at LEP2 energies

S. Sharma; M. Kaur; S. Thakur

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arXiv · 1708.09297

Modified Weibull and Tsallis Distributions for multiplicities in $e^{+}e^{-}$ collisions at LEP2 energies

S. Sharma·M. Kaur·S. Thakur

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Abstract

Multiplicity distributions of charged particles produced in the $e^{+}e^{-}$ collisions at LEP2 energies ranging from 91 to 206 GeV in full phase space, are compared with predictions from Tsallis $q$-statistics and the recently proposed Weibull distribution functions.~The analysis uses data from two LEP experiments, L3 and OPAL.~It is shown that Tsallis $q$-statistics explains the data in a statistically acceptable manner in full phase space at all energies, while the Weibull distribution fails to explain the underlying properties of the data.~Modifications to the distributions proposed earlier, are applied to uncover manifold improvements in explaining the data characteristics.

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S. Sharma, M. Kaur, S. Thakur. 2017-08-29. Modified Weibull and Tsallis Distributions for multiplicities in $e^{+}e^{-}$ collisions at LEP2 energies. https://arxiv.org/abs/1708.09297

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