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Hadron production in hard scattering reactions is described by thehadronization mechanism which combines quarks into final-state hadrons. Withinthe theoretical framework of leading-twist collinear QCD, the cross section forhadron production in semi-inclusive deep-inelastic scattering can be factorizedinto a hard scattering cross section describing the hard interaction at thequark level calculable in perturbative QED, and non-perturbative universalfunctions: parton distribution functions which reflect the quark structure ofinitial-state hadrons and collinear fragmentation functions which encodedetails on the hadronization process. In the last decades, a major effort hasbeen achieved on theoretical and experimental levels and allowed to constraint,with very high precision, parton distribution functions except strange quarkdistribution, which still carries large uncertainties. Fragmentation functions,however, remain at a very preliminary stage of study with a growing interest ina more accurate and precise knowledge. Nowadays, while pion fragmentationfunctions are known with a limited precision and kaon fragmentation functionsare poorly known, the situation for dihadron fragmentation functions turns outto be behind the schedule and no studies or measurements have been yetperformed.Measuring both single hadron and hadron pair multiplicities insemi-inclusive deep inelastic scattering at COMPASS represent a fundamentalcontribution towards a better understanding of the hadronization process and afirst measurement for hadron pair multiplicities in SIDIS. These measurementswill be presented and discussed.

Study of the hadronisation process from single hadron and hadron-pair production in SIDIS at COMPASS