Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-08-24
Phys.Rev.D59:074008,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
38 pages, Latex, with 7 PostScript pictures. Introduction and Section 6 further enlarged, minor typos corrected
Scientific paper
10.1103/PhysRevD.59.074008
We argue that the massive Yang-Mills model of Kunimasa and Goto, Slavnov, and Cornwall, in which massive gauge vector bosons are introduced in a gauge-invariant way without resorting to the Higgs mechanism, may be useful for studying diffractive scattering of strongly interacting particles. We perform in this model explicit calculations of S-matrix elements between quark states, at tree level, one loop, and two loops, and discuss issues of renormalisability and unitarity. In particular, it is shown that the S-matrix element for quark scattering is renormalisable at one-loop order and is only logarithmically non-renormalisable at two loops. The discrepancies in the ultraviolet regime between the one-loop predictions of this model and those of massless QCD are discussed in detail. Also, some of the similarities and differences between the massive Yang-Mills model and theories with a Higgs mechanism are analysed at the level of the S-matrix. Finally, we briefly discuss the high-energy behaviour of the leading-order amplitude for quark-quark elastic scattering in the diffractive region. The above analysis sets up the stage for carrying out a systematic computation of the higher order corrections to the two-gluon exchange model of the Pomeron using massive gluons inside quantum loops.
Forshaw Jeffrey R.
Papavassiliou Joannis
Parrinello Claudio
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