Eur. Phys. J. C (2007) 50: 969-978
https://doi.org/10.1140/epjc/s10052-007-0244-4

Regular Article - Theoretical Physics

Fragmentation function and hadronic production of the heavy supersymmetric hadrons

¹ CCAST (World Laboratory), P.O. Box 8730, Beijing, 100080, P.R. China
² Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing, 100080, P.R. China
³ Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang, 471003, P.R. China
⁴ Department of Physics, Chongqing University, Chongqing, 400044, P.R. China

^* e-mail: wuxg@itp.ac.cn

Received: 17 February 2006
Revised: 17 November 2006
Published online: 7 March 2007

Abstract

The light top-squark may be the lightest squark, and its lifetime may be ‘long enough’ in a kind of SUSY models that have not been ruled out yet experimentally, so colorless ‘supersymmetric hadrons (superhadrons)’ (q is a quark excluding the t-quark) may be formed as long as the light top-squark can be produced. The fragmentation function of into heavy ‘supersymmetric hadrons (superhadrons)’ (Q̄=c̄ or b̄) and hadronic production of the superhadrons are investigated quantitatively. The fragmentation function is calculated precisely. Due to the difference in spin of the SUSY component, the asymptotic behavior of the fragmentation function is different from those of the existing ones. The fragmentation function is also applied to compute the production of heavy superhadrons at the hadronic colliders Tevatron and LHC in the so-called fragmentation approach. The resultant cross-section for the heavy superhadrons is too small to observe at Tevatron, but large enough at LHC, when all the relevant parameters in the SUSY models are taken within the favored region for the heavy superhadrons. The production of ‘light superhadrons’ (q=u,d,s) is also roughly estimated with the same SUSY parameters. It is pointed out that the production cross-sections of the light superhadrons may be much greater than those of the heavy superhadrons, so that even at Tevatron the light superhadrons may be produced in great quantities.