Log-periodic oscillations of transverse momentum distributions

TL;DR

This paper investigates the presence of log-periodic oscillations in transverse momentum distributions, proposing that such oscillations indicate either a complex power-law exponent or a scale parameter with specific log-periodic behavior, analyzed through Tsallis distributions.

Contribution

It introduces the idea that log-periodic oscillations in p_T distributions are genuine effects, exploring their implications for the power-law exponent or scale parameter within Tsallis models.

Findings

Log-periodic oscillations are observed in p_T distributions.

These oscillations suggest a complex power-law exponent or a scale parameter with specific oscillations.

The analysis uses Tsallis distributions to explore these phenomena.

Abstract

Large p_T transverse momentum distributions exhibit apparently a power-like behavior. We argue that, under closer inspection, this behavior is in fact decorated with some log-periodic oscillations. Assuming that this is genuine effect and not experimental artefact, it suggests that either the exponent of the power-like behavior is in reality complex number or that there is a scale parameter which exhibits specific log-eriodic oscillations. This problem is discussed using Tsallis distributions with scale parameter being a temperature T. At this stage we consider both possibilities on equal footing.