Log-periodic oscillations of transverse momentum distributions

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.

arXiv comment6 pages, 5 figures. Mistakes corrected, one reference and some discussion added

References in corpus (3)

• Tsallis distribution with complex nonextensivity parameter q
• On possible origins of power-law distributions
• Relativistic Hard-Scattering and Tsallis Fits to pT Spectra in pp Collisions at the LHC

Cited by in corpus (5)

• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• The Tsallis Distribution at Large Transverse Momenta
• Tsallis distribution with complex nonextensivity parameter q
• Transverse momentum spectra of hadrons in high energy pp and heavy ion collisions
• System size dependence of the log-periodic oscillations of transverse momentum spectra