Abstract
Factorization of short- and long-distance interactions is severely broken in hard diffractive hadronic collisions. Interaction with the spectator partons leads to an interplay between soft and hard scales, which results in a leading twist behavior of the cross section, on the contrary to the higher twist predicted by factorization. This feature is explicitly demonstrated for diffractive radiation of abelian (Drell-Yan, gauge bosons, Higgs) and non-abelian (heavy flavors) particles.
Highlights
QCD factorization in inclusive processes is nowadays one of the most powerful and frequently used theoretical tools [1]
In the dipole representation hard diffraction of a hadron comes from the difference between elastic amplitudes of hadronic states with and without a hard fluctuation, Ahdi f f ∝ σqq(R + r) − σqq(R) ∝ rR ∼ 1/Q, (1)
The leading twist behavior 1/m2Q of the diffractive cross section is confirmed by CDF data, as is demonstrated in Fig. 6, right panel
Summary
QCD factorization in inclusive processes is nowadays one of the most powerful and frequently used theoretical tools [1]. Were known, one could predict any hard diffractive hadronic reaction. In the dipole representation hard diffraction of a hadron comes from the difference between elastic amplitudes of hadronic states with and without a hard fluctuation, Ahdi f f ∝ σqq(R + r) − σqq(R) ∝ rR ∼ 1/Q,. Where σqq(R) is the total dipole-nucleon cross section [9]; R characterises the hadronic size, while small r ∼ 1/Q R is related to the hard process [10, 11]. Such a mild Q-dependence contradicts factorization prediction, based on the DIS relation, Adi f f ∝ σqq(r) ∝ r2 ∼ 1/Q2,.
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