[Submitted on 6 Oct 2020] (cross-list from hep-ph)
The Fragmentation Spectrum from Space-Time Reciprocity
Analyzing the single inclusive annihilation spectrum of charged hadrons in collisions, I confront the hadronization hypothesis of local parton-hadron duality with a systematic resummation of the dependence on the small energy fraction. This resummation is based on the reciprocity between time-like and space-like splitting processes in -dimensions, which I extend to resum all the soft terms of the cross-section for inclusive jet production. Under the local-parton-hadron duality hypothesis, the resulting distribution of jets essentially determines the spectrum of hadrons as the jet radius goes to zero. Thus I take the resummed perturbative jet function as the non-perturbative fragmentation function with an effective infra-red coupling. I find excellent agreement with data, and comment on the mixed leading log approximation previously used to justify local parton-hadron duality.
- Comments:
- 24 pgs. 15 figs, v3 corrected more typos, improved notation. Added more plots for large momentum region
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 2010.02934 [pdf]