Cancellation of spectator interactions in the Drell-Yan and deep inelastic processes

We present an explicit calculation of the one-gluon soft interactions involving one spectator quark in the Drell-Yan and in the deep inelastic processes. We verify that these interactions are suppressed in the high energy limit. The gluon has a wavelength ranging from infinity to a value that is much smaller than the wavelength of the high energy photon. This includes a subregion, ranging from the meson size to values much bigger than the meson size, that has not been explicitly considered in the previous calculations.     

Spectator interactions and theK-factor in the Drell-Yan process

The precise value of theO(α _s perturbative QCD correction to the Drell-Yan cross-section seems to depend on the calculational procedure. We show how this ambiguity is removed when proper account is taken of the additional interactions involving spectator quarks. Explicit calculations in the scalar quark model reveal that the important contributions come from values of the gluon momentum that are very soft.

     

Colour effects in Drell-Yan process

We examine the predictions of gauge theories with colour excitation for the processpp →μ ⁺ μ ⁻ X. Relative to the predictions of quark parton model (with three colours) we find enhancements as large as a factor 3 – 4 for the cross-sectionM ³ d ² σ/dMdy|_y=0 in the region 0·03 ≲M/√s ≲ 0·2 at √s=62 GeV,M being the invariant mass andy the rapidity of the muon pair. We study the sensitivity of this result to the colour gluon mass and the underlying parametrisation of the quark and gluon distribution functions.     

Factorisation,parton entanglement and the Drell-Yan process

We discuss the angular distribution of the lepton pair in the Drell-Yan process, . This process gives information on the spin-density matrix of the annihilating quark-antiquark pair in . There is strong experimental evidence that even for unpolarised initial hadrons is non-trivial, and therefore the quark-antiquark system is polarised. We discuss the possibilities of a general - which could be entangled - and a factorising . We argue that instantons may lead to a non-trivial of the type indicated by experiments.Received: 6 December 2004, Published online: 9 February 2005     

Electromagnetic interactions for the two-body spectator equations

This paper presents a new non-associative algebra which is used to (i) show how the spectator (or Gross) two-body equations and electromagnetic currents can be formally derived from the Bethe-Salpeter equation and currents if both are treated to all orders, (ii) obtain explicit expressions for the Gross two-body electromagnetic currents valid to any order, and (iii) prove that the currents so derived are exactly gauge invariant when truncated consistently to any finite order. In addition to presenting these new results, this work complements and extends previous treatments based largely on the analysis of sums of Feynman diagrams.     

Cancellation of Sudakov effects in the Drell-Yan process

We show, by a direct examination of Feynman graphs, that lowest-order Sudakov effects factorize from Glauber-region gluons in quark-hadron scattering. We then find that the Sudakov double logarithms cancel. This result is consistent with order-by-order factorization in perturbation theory for the Drell-Yan process.     

Factorization for one-loop corrections in the Drell-Yan process

We study all the one-loop corrections to the Drell-Yan process in QCD, including gluon exchanges involving spectator partons. Our method demonstrates weak factorization at measured dimuon Q^T, and is suitable for generalization to higher orders.     

Spin effects and factorization in the Drell-Yan process

We discuss the idea that the nontrivial vacuum structure in QCD may induce transverse momentum and spin correlations of the initial state partons in Drell-Yan type reactions, i.e. in hadron-hadron collisions with production of a vector bosonV=γ ^*,Z,W ^±. Transverse momentum correlations are found to have practically no effect on observable quantities, but spin correlations have drastic consequences for the polarization density matrices of theV-bosons. We therefore propose measurements of theV polarization as a good test for the basic factorization hypothesis which, so far, has been assumed to be valid in numerous applications of the naive and QCD-improved parton model. We compare our ansatz for a spin correlation violating factorization with data from the NA 10 collaboration onγ ^* production inπ ^? N scattering. We find that the data give an indication of spin correlations of the partons in the initial state to be present.     

Partonic energy loss and the Drell-Yan process

We examine the current status of the extraction of the rate of partonic energy loss in nuclei from A-dependent data. The advantages and difficulties of using the Drell-Yan process to measure the energy loss of a parton traversing a cold nuclear medium are discussed. The prospects of using relatively low energy proton beams for a definitive measurement of partonic energy loss are presented.     

Higher-twist effects in QCD,deep inelastic scattering,and the Drell-Yan process

Inclusion of specific effects associated with constituent binding in hadronic wave functions is shown to lead to important non-scaling, nonfactorizing 1/Q ² contributions to cross sections for semi-inclusive deep-inelastic scattering, the Drell-Yan process, and other hard scattering reactions. These 1/Q ² higher-twist terms are predicted to be dominant in well defined kinematic regions such as largex and/or largez. The provide angular distributions typical of longitudinally polarized virtual photons andW's, including sin² θ terms in meson induced Drell-Yan processes and ine ⁺ e ^?→πX, as well as unusual (1?y) terms in deep-inelastic scattering. Calculations are also presented of the quark structure functions of the pionq _π(x, Q ²) and for the quark to pion fragmentation functionD _π(z, Q ²). Predictions are made for the azimuthal angle dependence of the cross sections for \(\pi N \to \mu {\text{ }}\bar \mu X\) andlN→l′πX.     

Large perturbative corrections to the Drell-Yan process in QCD

The total cross section $\text{d}\text{σ}\text{d}\text{Q}{}^2$ for the production of a muon pair of invariant mass Q²via the Drell-Yan mechanism and the Feynman x_F differential cross section $\text{d}{}^2\text{σ}\text{d}\text{Q}{}^2\text{d}\text{x}{}_{\mathrm{<mtext>F</mtext>}}$ are calculated in QCD retaining all terms up to order α_s(Q². The calculations are performed using dimensional regularisation of the intermediary infrared and collinear singularities, but we present our results in a form independent of such details. The corrections to both these cross sections coming from radiative corrections to the lowest-order $\text{q}\text{q}$ annihilation diagram are found to be large at present values of Q² and S when the cross section is expressed in terms of parton densities derived from leptonproduction, for all Drell-Yan processes of practical interest. Numerical calculations are presented which show, for any reasonable parametrisation of the parton densities, that the neglect of higher-order terms in α_s(Q²) is not justifiable. The quark-gluon diagrams on the other hand give small corrections in this order and are only important for PP scattering.     

Remarks on optimized predictions for the Drell-Yan process

We discuss the optimization of the Drell-Yan pair production cross section calculated atO(α _s ) and compare it with theO(α _s ² ) results of van Neerven et al. It is shown that the optimized predictions do agree analytically with the latter calculation near the phase space boundary. They also provide a good numerical approximation wherever the stability equations have a solution.     

A phenomenological study of theK-factor for the Drell-Yan process

We calculate within the framework of QCD perturbation theory, the 0(α _s ) corrections to the Drell-Yan process using various beam particles and parton distributions. We attempt to extract those features of these corrections which are least sensitive to the forms of the ill-determined parameters like the quark or gluon distributions. We emphasize the necessity to exponentiate certain π² terms in order to accommodate the available data in the relevant kinematical range.     

Phenomenology of a second neutral gauge boson in the Drell-Yan process

We discuss the influence of a second neutral gauge boson to the Drell-Yan process. We find that for energies available in the near future and even at present energies, there are sizeable differences in the predictions of different models for the forward-backward asymmetry and the longitudinal polarization of the lepton.     

Energy loss effect in high energy nuclear Drell-Yan process

The energy loss effect in nuclear matter, which is a nuclear effect apart from the nuclear effect on the parton distribution as in deep-inelastic scattering process, can be measured best by the nuclear dependence of the high energy nuclear Drell-Yan process. By means of the nuclear parton distribution studied only with lepton deep-inelastic scattering experimental data, the measured Drell-Yan production cross sections for 800 GeV proton incident on a variety of nuclear targets are analyzed within the Glauber framework which takes into account the energy loss of the beam proton. It is shown that the theoretical results with considering the energy loss effect are in good agreement with the FNAL E866 data.Arrival of the final proofs: 24 June 2003     

Unusual initial state interactions and Kinoshita diagram identities in perturbative QCD

Unlike in QED, algebraic identities for individual single-cut Kinoshita diagrams with all soft gluons are generally violated by initial state spectator interactions in light-cone time-ordered perturbation theory. At g⁴ order, identities insuring IR cancellation for the real graphs considered by Bodwin, Brodsky and Lepage for ππ→μ⁺μ^?+X when all gluons are soft can be obtained by summing over several of the corresponding single-cut diagrams. Although this fails for the two-loop virtual's diagrams considered by BBL, summing over a larger class of possible two-loop virtual spectator interactions having two Glauber singularities does restore IR finiteness when both gluons are soft.For individual single-cut Kinoshita diagrams with an arbitrary number ladder exchanges, algebraic identities for the (C_F)^n/2 contribution from the initial state are derived.     

Dilepton rapidity distribution in the Drell-Yan process at next-to-next-to-leading order in QCD

We compute the rapidity distribution of the virtual photon produced in the Drell-Yan process through next-to-next-to-leading order in perturbative QCD. We introduce a powerful new method for calculating differential distributions in hard scattering processes. This method is based upon a generalization of the optical theorem; it allows the integration-by-parts technology developed for multiloop diagrams to be applied to noninclusive phase-space integrals, and permits a high degree of automation. We apply our results to the analysis of fixed-target experiments.     

Radiative corrections to the helicity asymmetries for the Drell-Yan process in QCD

The next-to-leading-logarthmic corrections to the helicity cross sections for the Drell-Yan process are calculated. While it is well-known that these corrections are large, it is shown here that when considering the helicity asymmetry (initial-initial) these large radiative effects cancel. Thus the leading-order calculation for the asymmetry is a good approximation.     

Transversity distribution in spin asymmetries in semi-inclusive DIS and in the Drell-Yan process

A review is given on single spin asymmetries in deep inelastic semi-inclusive scattering (SIDIS) and their possible theoretical understanding in the framework of ACD-induced factorization approach, wherefore predictions for transverisity from the chiral quark soliton model are used. Arising difficulties to interpret most recent SIDIS data, and the possibility to access the transversity distribution in the Drell-Yan process are discussed.