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Supersymmetric scaling violations. I: Solving the supersymmetric DGLAP evolution. (English) Zbl 0990.81139
Summary: We analyze the renormalization group equations of supersymmetric QCD with \(N=1\) for the evolution of parton distributions. For this purpose we developed a simple recursive algorithm in \(x\) space to include both regular regions and supersymmetric regions in the evolution in the step approximation. Supersymmetric distributions are generated within a radiative model, with vanishing initial conditions for the superpartners. Here we focus on a scenario with broken susy, characterized by a lighter gluino coupled to the standard evolution and a decoupled scalar quark. Predictions for the all the distributions are presented.
MSC:
81V05 Strong interaction, including quantum chromodynamics
81T17 Renormalization group methods applied to problems in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
Software:
QCDNUM16
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References:
[1] Kounnas, C.; Ross, D.A., Nucl. phys. B, 214, 317, (1983)
[2] Antoniadis, I.; Kounnas, C.; Lacaze, R., Nucl. phys. B, 211, 216, (1983)
[3] Rossi, G., Phys. rev. D, 29, 852, (1984)
[4] Corianò, C.; Savkli, C., Comput. phys. commun., 118, 236, (1999)
[5] Furmanski, W.; Petronzio, R., Nucl. phys. B, 195, 237, (1982)
[6] M. Botje, QCDNUM16: A fast QCD evolution program, ZEUSS Note 97-066
[7] Chuvakin, A.; Smith, J.
[8] Da Luz Vieira, J.H.; Storrow, J.K., Z. phys. C, 51, 241-258, (1991)
[9] Gordon, L.E.; Ramsey, G.P., Phys. rev. D, 59, 074018, (1999)
[10] Lai, H.L.; Gordon, L.E.; Ramsey, G.P., Phys. rev. D, Phys. rev. D, 51, 4763, (1996)
[11] Botts, J.; Blumlein, J., Phys. lett. B, 325, 190-196, (1994)
[12] Clavelli, L.
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