“…In short, early SLAC data have extremely large uncertainties, while data from JLAB and the E665 collaboration [17] are mostly at low Q 2 and are almost entirely excluded by our kinematic cuts. This leaves us with the data published by the NMC [18] and BCDMS [19,20] collaborations. We refer to [9] for a discussion of the kinematical and statistical features of these data, in particular for the details of their correlated systematics.…”
Section: Experimental Data and Kinematical Cutsmentioning
confidence: 96%
“…The evolution factor is then explicitly given by 20) where (adopting the notations and conventions of ref. [23]) we have introduced nonsinglet evolution coefficients…”
Section: Solution Of the Evolution Equation In N Spacementioning
Abstract:We provide a determination of the isotriplet quark distribution from available deep-inelastic data using neural networks. We give a general introduction to the neural network approach to parton distributions, which provides a solution to the problem of constructing a faithful and unbiased probability distribution of parton densities based on available experimental information. We discuss in detail the techniques which are necessary in order to construct a Monte Carlo representation of the data, to construct and evolve neural parton distributions, and to train them in such a way that the correct statistical features of the data are reproduced. We present the results of the application of this method to the determination of the nonsinglet quark distribution up to next-to-next-to-leading order, and compare them with those obtained using other approaches.
“…In short, early SLAC data have extremely large uncertainties, while data from JLAB and the E665 collaboration [17] are mostly at low Q 2 and are almost entirely excluded by our kinematic cuts. This leaves us with the data published by the NMC [18] and BCDMS [19,20] collaborations. We refer to [9] for a discussion of the kinematical and statistical features of these data, in particular for the details of their correlated systematics.…”
Section: Experimental Data and Kinematical Cutsmentioning
confidence: 96%
“…The evolution factor is then explicitly given by 20) where (adopting the notations and conventions of ref. [23]) we have introduced nonsinglet evolution coefficients…”
Section: Solution Of the Evolution Equation In N Spacementioning
Abstract:We provide a determination of the isotriplet quark distribution from available deep-inelastic data using neural networks. We give a general introduction to the neural network approach to parton distributions, which provides a solution to the problem of constructing a faithful and unbiased probability distribution of parton densities based on available experimental information. We discuss in detail the techniques which are necessary in order to construct a Monte Carlo representation of the data, to construct and evolve neural parton distributions, and to train them in such a way that the correct statistical features of the data are reproduced. We present the results of the application of this method to the determination of the nonsinglet quark distribution up to next-to-next-to-leading order, and compare them with those obtained using other approaches.
“…[26][27][28] The original BCDMS fits to the hydrogen and deuterium data were later superseded by a careful analysis by Virchaux and Milsztajn of the combined SLAC and BCDMS hydrogen and deuterium data. 29 Since the SLAC data extend down to four-momentum transfers as low as Q 2 = 1 GeV 2 , these authors make an allowance for non-perturbative "higher twist" contributions to the observed scaling violations at small Q 2 .…”
Section: Measurement Of the Strong Coupling Constantmentioning
We review results from deep inelastic muon scattering experiments at the SPS which started in 1978, and are still actively pursued today. Key results include the precision measurement of scaling violations and of the strong coupling constant, spin-dependent structure functions, and studies of the internal spin structure of protons and neutrons. These experiments have revealed a wealth of details about the internal structure of nucleons in terms of quarks and gluons.
“…At low Q 2 , the quantities A i (Q 2 ) are given by the square of the electric charge of quark or antiquark i. Figure 1 shows the F 2 structure function measured by the ZEUS and H1 collaborations [1,2,3] at high x, together with data from the fixed-target experiments NMC [4], BCDMS [5,6] and E665 [7] as a function of Q 2 in bins of x. The region of scaling around x = 0.2 can be seen clearly, together with the strong scale breaking as x falls, caused by gluon radiation.…”
Abstract. A selection of results from the H1 and ZEUS experiments at HERA are reviewed, particularly in the area of deep inelastic scattering and diffraction. Quantum chromodynamics gives a good explanation of these data down to surprisingly low values of the four-momentum transfer, Q 2 . Data at smaller Q 2 can be described by Regge models as well as by dipole models including parton-saturation effects. The latter can also give a unified description of many features of diffractive data.
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