Measuring the QCD Gell-Mann–Low ψ function
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1999
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Amer Physical Soc
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Abstract
We present a general method for extracting the Gell-Mann-Low logarithmic derivative of an effective charge of an observable directly from data as a mean for empirically verifying the universal terms of the QCD beta function. Our method avoids the biases implicit in fitting to QCD-motivated forms as well as the interpolation errors introduced by constructing derivatives from discrete data. We also derive relations between moments of effective charges as new tests of perturbative QCD. [S0556-2821(99)00221-0].
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©1999 The American Physical Society.
C.M. and J.R.P. thank the Theory Group at SLAC for their kind hospitality. J.R.P. acknowledges the Spanish Ministerio de Educación y Cultura for financial support, as well as the Departamento de Física de Partículas of the Universidade de Santiago de Compostela for its hospitality. We also thank M. Melles, J. Rathsman and N. Toumbas for helpful conversations. This research was partially supported by the Department of Energy under contract DE-AC03-76SF00515 and the Spanish CICYT under contracts AEN-96-1673, AEN97-1693.