Abstract
The unpolarised transverse momentum dependent distribution and fragmentation functions are extracted from HERMES and COMPASS experimental measurements of SIDIS multiplicities for charged hadron production. The data are grouped into independent bins of the kinematical variables, in which the TMD factorisation is expected to hold. A simple factorised functional form of the TMDs is adopted, with a Gaussian dependence on the intrinsic transverse momentum, which turns out to be quite adequate in shape. HERMES data do not need any normalisation correction, while fits of the COMPASS data much improve with a y-dependent overall normalisation factor. A comparison of the extracted TMDs with previous EMC and JLab data confirms the adequacy of the simple Gaussian distributions. The possible role of the TMD evolution is briefly considered.
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References
D. Boer et al., Gluons and the quark sea at high energies: Distributions, polarization, tomography, arXiv:1108.1713 [INSPIRE].
X.-d. Ji, J.-P. Ma and F. Yuan, QCD factorization for spin-dependent cross sections in DIS and Drell-Yan processes at low transverse momentum, Phys. Lett. B 597 (2004) 299 [hep-ph/0405085] [INSPIRE].
X.-d. Ji, J.-p. Ma and F. Yuan, QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum, Phys. Rev. D 71 (2005) 034005 [hep-ph/0404183] [INSPIRE].
A. Bacchetta, D. Boer, M. Diehl and P.J. Mulders, Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum, JHEP 08 (2008) 023 [arXiv:0803.0227] [INSPIRE].
J. Collins, Foundations of perturbative QCD, Foundations of Perturbative QCD, Cambridge University Press, Cambridge U.K. (2011).
D.W. Sivers, Single spin production asymmetries from the hard scattering of point-like constituents, Phys. Rev. D 41 (1990) 83 [INSPIRE].
D.W. Sivers, Hard scattering scaling laws for single spin production asymmetries, Phys. Rev. D 43 (1991) 261 [INSPIRE].
J.C. Collins, Fragmentation of transversely polarized quarks probed in transverse momentum distributions, Nucl. Phys. B 396 (1993) 161 [hep-ph/9208213] [INSPIRE].
M. Anselmino et al., The Role of Cahn and sivers effects in deep inelastic scattering, Phys. Rev. D 71 (2005) 074006 [hep-ph/0501196] [INSPIRE].
European Muon collaboration, J. Ashman et al., Forward produced hadrons in mu p and mu d scattering and investigation of the charge structure of the nucleon, Z. Phys. C 52 (1991) 361 [INSPIRE].
P. Schweitzer, T. Teckentrup and A. Metz, Intrinsic transverse parton momenta in deeply inelastic reactions, Phys. Rev. D 81 (2010) 094019 [arXiv:1003.2190] [INSPIRE].
CLAS collaboration, M. Osipenko et al., Measurement of unpolarized semi-inclusive pi+ electroproduction off the proton, Phys. Rev. D 80 (2009) 032004 [arXiv:0809.1153] [INSPIRE].
H. Mkrtchyan et al., Transverse momentum dependence of semi-inclusive pion production, Phys. Lett. B 665 (2008) 20 [arXiv:0709.3020] [INSPIRE].
HERMES collaboration, A. Airapetian et al., Transverse momentum broadening of hadrons produced in semi-inclusive deep-inelastic scattering on nuclei, Phys. Lett. B 684 (2010) 114 [arXiv:0906.2478] [INSPIRE].
HERMES collaboration, A. Airapetian et al., Multiplicities of charged pions and kaons from semi-inclusive deep-inelastic scattering by the proton and the deuteron, Phys. Rev. D 87 (2013) 074029 [arXiv:1212.5407] [INSPIRE].
COMPASS collaboration, C. Adolph et al., Hadron Transverse Momentum Distributions in Muon Deep Inelastic Scattering at 160 GeV/c, Eur. Phys. J. C 73 (2013) 2531 [arXiv:1305.7317] [INSPIRE].
S.M. Aybat and T.C. Rogers, TMD Parton Distribution and Fragmentation Functions with QCD Evolution, Phys. Rev. D 83 (2011) 114042 [arXiv:1101.5057] [INSPIRE].
S.M. Aybat, J.C. Collins, J.-W. Qiu and T.C. Rogers, The QCD Evolution of the Sivers Function, Phys. Rev. D 85 (2012) 034043 [arXiv:1110.6428] [INSPIRE].
M.G. Echevarriá, A. Idilbi, A. Schäfer and I. Scimemi, Model-Independent Evolution of Transverse Momentum Dependent Distribution Functions (TMDs) at NNLL, Eur. Phys. J. C 73 (2013) 2636 [arXiv:1208.1281] [INSPIRE].
M.G. Echevarria, A. Idilbi and I. Scimemi, Definition and Evolution of Transverse Momentum Distributions, Int. J. Mod. Phys. Conf. Ser. 20 (2012) 92 [arXiv:1209.3892] [INSPIRE].
S.M. Aybat, A. Prokudin and T.C. Rogers, Calculation of TMD Evolution for Transverse Single Spin Asymmetry Measurements, Phys. Rev. Lett. 108 (2012) 242003 [arXiv:1112.4423] [INSPIRE].
M. Anselmino, M. Boglione and S. Melis, A Strategy towards the extraction of the Sivers function with TMD evolution, Phys. Rev. D 86 (2012) 014028 [arXiv:1204.1239] [INSPIRE].
A. Bacchetta and A. Prokudin, Evolution of the helicity and transversity Transverse-Momentum-Dependent parton distributions, Nucl. Phys. B 875 (2013) 536 [arXiv:1303.2129] [INSPIRE].
R.M. Godbole, A. Misra, A. Mukherjee and V.S. Rawoot, Transverse Single Spin Asymmetry in e + p ↑ → e + J/ψ + X and Transverse Momentum Dependent Evolution of the Sivers Function, Phys. Rev. D 88 (2013) 014029 [arXiv:1304.2584] [INSPIRE].
P. Sun and F. Yuan, Energy Evolution for the Sivers Asymmetries in Hard Processes, Phys. Rev. D 88 (2013) 034016 [arXiv:1304.5037] [INSPIRE].
P. Sun and F. Yuan, TMD Evolution: Matching SIDIS to Drell-Yan and W/Z Boson Production, Phys. Rev. D 88 (2013) 114012 [arXiv:1308.5003] [INSPIRE].
D. Boer, TMD evolution of the Sivers asymmetry, Nucl. Phys. B 874 (2013) 217 [arXiv:1304.5387] [INSPIRE].
A. Signori, A. Bacchetta, M. Radici and G. Schnell, Investigations into the flavor dependence of partonic transverse momentum, JHEP 11 (2013) 194 [arXiv:1309.3507] [INSPIRE].
R. Asaturyan et al., Semi-Inclusive Charged-Pion Electroproduction off Protons and Deuterons: Cross Sections, Ratios and Access to the Quark-Parton Model at Low Energies, Phys. Rev. C 85 (2012) 015202 [arXiv:1103.1649] [INSPIRE].
A. Bacchetta et al., Semi-inclusive deep inelastic scattering at small transverse momentum, JHEP 02 (2007) 093 [hep-ph/0611265] [INSPIRE].
M. Anselmino et al., General Helicity Formalism for Polarized Semi-Inclusive Deep Inelastic Scattering, Phys. Rev. D 83 (2011) 114019 [arXiv:1101.1011] [INSPIRE].
J. Pumplin et al., New generation of parton distributions with uncertainties from global QCD analysis, JHEP 07 (2002) 012 [hep-ph/0201195] [INSPIRE].
D. de Florian, R. Sassot and M. Stratmann, Global analysis of fragmentation functions for pions and kaons and their uncertainties, Phys. Rev. D 75 (2007) 114010 [hep-ph/0703242] [INSPIRE].
LHPC collaboration, B.U. Musch et al., Transverse momentum distributions of quarks from the lattice using extended gauge links, PoS(LATTICE 2007)155 [arXiv:0710.4423] [INSPIRE].
D.P. Anderle, F. Ringer and W. Vogelsang, QCD resummation for semi-inclusive hadron production processes, Phys. Rev. D 87 (2013) 034014 [arXiv:1212.2099] [INSPIRE].
M. Anselmino, M. Boglione, A. Prokudin and C. Turk, Semi-Inclusive Deep Inelastic Scattering processes from small to large p T , Eur. Phys. J. A 31 (2007) 373 [hep-ph/0606286] [INSPIRE].
M. Epele, R. Llubaroff, R. Sassot and M. Stratmann, Uncertainties in pion and kaon fragmentation functions, Phys. Rev. D 86 (2012) 074028 [arXiv:1209.3240] [INSPIRE].
V. Barone, C. Pascaud, B. Portheault and F. Zomer, Parton distribution functions in a fit of DIS and related data, JHEP 01 (2006) 006 [INSPIRE].
P.M. Nadolsky, D. Stump and C. Yuan, Phenomenology of multiple parton radiation in semiinclusive deep inelastic scattering, Phys. Rev. D 64 (2001) 114011 [hep-ph/0012261] [INSPIRE].
F. Landry, R. Brock, P.M. Nadolsky and C. Yuan, Tevatron Run-1 Z boson data and Collins-Soper-Sterman resummation formalism, Phys. Rev. D 67 (2003) 073016 [hep-ph/0212159] [INSPIRE].
J.C. Collins, D.E. Soper and G.F. Sterman, Transverse Momentum Distribution in Drell-Yan Pair and W and Z Boson Production, Nucl. Phys. B 250 (1985) 199 [INSPIRE].
European Muon collaboration, M. Arneodo et al., Measurement of Hadron Azimuthal Distributions in Deep Inelastic Muon Proton Scattering, Z. Phys. C 34 (1987) 277 [INSPIRE].
M. Boglione, S. Melis and A. Prokudin, Partonic Transverse Motion in Unpolarized Semi-Inclusive Deep Inelastic Scattering Processes, Phys. Rev. D 84 (2011) 034033 [arXiv:1106.6177] [INSPIRE].
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Anselmino, M., Boglione, M., Gonzalez H., J.O. et al. Unpolarised transverse momentum dependent distribution and fragmentation functions from SIDIS multiplicities. J. High Energ. Phys. 2014, 5 (2014). https://doi.org/10.1007/JHEP04(2014)005
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DOI: https://doi.org/10.1007/JHEP04(2014)005