Abstract
We analyse the origin of dramatic breakdown of diffractive factorisation, observed in single-diffractive (SD) dijet production in hadronic collisions. One of the sources is the application of the results of measurements of the diagonal diffractive DIS to the off-diagonal hadronic diffractive process. The suppression caused by a possibility of inelastic interaction with the spectator partons is calculated at the amplitude level, differently from the usual probabilistic description. It turns out, however, that interaction with the spectator partons not only suppresses the SD cross section, but also gives rise to the main mechanism of SD dijet production, which is another important source of factorization failure. Our parameter-free calculations of SD-to-inclusive cross section ratio, performed in the dipole representation, agrees with the corresponding CDF Tevatron (Run II) data at $\sqrt{s}=1.96$ TeV in the relevant kinematic regions. The energy and hard scale dependences demonstrate a trend, opposite to the factorisation-based expectations, similarly to the effect observed earlier in diffractive Abelian radiation.
Highlights
I.e., elastic scattering, with the forward amplitude related via the unitarity relation to the total cross section, in terms of the optical analogy can be treated as a shadow of inelastic processes
In this paper, being motivated by the Tevatron data on SD production of dijets, we extend the dipole formalism of Ref. [21] to the case of arbitrary α of diffractively produced gluon, we apply it for the hadronic case where large distances are necessarily involved and present the key features of the SD-to-inclusive ratio that indicate the dramatic breakdown of diffractive factorization in non-Abelian diffraction
IV, we extend the dipole formulation to the SD dijet production and derive the corresponding partonand hadron-level amplitudes as well as the SD cross sections in the hard scattering limit
Summary
Hadronic diffraction at high energies provides opportunities for a better understanding of an interplay between short- and long-range QCD interactions. The mechanism, leading to failure of factorization, is usually related to the presence of spectator partons in hadronic collisions Sometimes it results in an additional suppression factor, called rapidity gap survival probability. I.e., elastic scattering, with the forward amplitude related via the unitarity relation to the total cross section, in terms of the optical analogy can be treated as a shadow of inelastic processes. The off-diagonal diffractive amplitude (1.4) consists of terms with alternating signs, which tend to cancel each other, and the amplitude vanishes in the black-disk limit, according to the orthogonality relation (1.2) [16,17,18]. The diffractive amplitude (1.4), is a linear combination of elastic amplitudes, which contain a rapidity gap by definition This expression does not need any gap survival factor
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