Abstract
We show that already at the NLO level the DGLAP evolution kernel P qq starts to depend on the choice of the evolution variable. We give an explicit example of such a variable, namely the maximum of transverse momenta of emitted partons and we identify a class of evolution variables that leave the NLO P qq kernel unchanged with respect to the known standard \( \overline{\mathrm{MS}} \) results. The kernels are calculated using a modified Curci-Furmanski-Petronzio method which is based on a direct Feynman-graphs calculation.
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M. Bengtsson and T. Sjöstrand, A Comparative Study of Coherent and Noncoherent Parton Shower Evolution, Nucl. Phys. B 289 (1987) 810 [INSPIRE].
T. Sjöstrand, A Model for Initial State Parton Showers, Phys. Lett. B 157 (1985) 321 [INSPIRE].
T. Sjöstrand and P.Z. Skands, Transverse-momentum-ordered showers and interleaved multiple interactions, Eur. Phys. J. C 39 (2005) 129 [hep-ph/0408302] [INSPIRE].
M. Bahr et al., HERWIG++ Physics and Manual, Eur. Phys. J. C 58 (2008) 639 [arXiv:0803.0883] [INSPIRE].
G. Curci, W. Furmanski and R. Petronzio, Evolution of Parton Densities Beyond Leading Order: The Nonsinglet Case, Nucl. Phys. B 175 (1980) 27 [INSPIRE].
R.K. Ellis, H. Georgi, M. Machacek, H.D. Politzer and G.G. Ross, Factorization and the Parton Model in QCD, Phys. Lett. B 78 (1978) 281 [INSPIRE].
G. Heinrich, Improved techniques to calculate two-loop anomalous dimensions in QCD, Ph.D. thesis, Swiss Federal Institute of Technology, Zurich (1998). http://dx.doi.org/10.3929/ethz-a-001935934.
S. Jadach, A. Kusina, M. Skrzypek and M. Slawinska, Two real parton contributions to non-singlet kernels for exclusive QCD DGLAP evolution, JHEP 08 (2011) 012 [arXiv:1102.5083] [INSPIRE].
O. Gituliar, Higher-Order Corrections in QCD Evolution Equations and Tools for Their Calculation, arXiv:1403.6897 [INSPIRE].
O. Gituliar, S. Jadach, A. Kusina and M. Skrzypek, On regularizing the infrared singularities in QCD NLO splitting functions with the new Principal Value prescription, Phys. Lett. B 732 (2014) 218 [arXiv:1401.5087] [INSPIRE].
M. Skrzypek, O. Gituliar, S. Jadach and A. Kusina, The new PV prescription for IR singularities of NLO splitting functions, PoS(LL2014)059 [arXiv:1407.6261] [INSPIRE].
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ArXiv ePrint: 1606.01238
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Jadach, S., Kusina, A., Placzek, W. et al. On the dependence of QCD splitting functions on the choice of the evolution variable. J. High Energ. Phys. 2016, 92 (2016). https://doi.org/10.1007/JHEP08(2016)092
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DOI: https://doi.org/10.1007/JHEP08(2016)092