A new all-order resummation formula in Fourier b_T-space for the nearside energy-energy correlator, derived from di-hadron fragmentation functions, matches fixed-order calculations and predicts a small-angle turnover.
Evolution of the parton dihadron fragmentation functions
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abstract
Quark and gluon parton dihadron fragmentation functions and their evolution are studied in the process of e+e- annihilation. We provide definitions of such dihadron fragmentation functions in terms of parton matrix elements and derive the momentum sum rules and their connection to single hadron fragmentation functions. We parameterize results from the Lund Monte Carlo model JETSET as the initial conditions for the parton dihadron fragmentation functions at the scale Q_0^2=2 GeV^2. The evolution equations for the quark and gluon fragmentation functions are solved numerically and the results at different higher scales Q^2 agree well with JETSET results. The importance of the input from the single fragmentation functions is pointed out.
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Factorization and Resummation for the Nearside Energy-Energy Correlators
A new all-order resummation formula in Fourier b_T-space for the nearside energy-energy correlator, derived from di-hadron fragmentation functions, matches fixed-order calculations and predicts a small-angle turnover.