The Fragmentation Spectrum from SpaceTime Reciprocity
Abstract
Analyzing the single inclusive annihilation spectrum of charged hadrons in $e^+e^$ collisions, I confront the hadronization hypothesis of local partonhadron duality with a systematic resummation of the dependence on the small energy fraction. This resummation is based on the reciprocity between timelike and spacelike splitting processes in $42\epsilon$dimensions, which I extend to resum all the soft terms of the crosssection for inclusive jet production. Under the localpartonhadron 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 nonperturbative fragmentation function with an effective infrared coupling. I find excellent agreement with data, and comment on the mixed leading log approximation previously used to justify local partonhadron duality.
 Publication:

arXiv eprints
 Pub Date:
 October 2020
 DOI:
 10.48550/arXiv.2010.02934
 arXiv:
 arXiv:2010.02934
 Bibcode:
 2020arXiv201002934N
 Keywords:

 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 24 pgs. 15 figs, v3 corrected more typos, improved notation. Added more plots for large momentum region