arXiv subjects

M. F. McDermott

Publications and source records attributed to M. F. McDermott.

16 recordsLinked to original sources

arXiv2003

Next-to-leading order evolution of generalized parton distributions for HERA and HERMES

The QCD evolution of both unpolarized and polarized generalized parton distributions (GPDs) to next-to-leading order (NLO) accuracy is presented, in both the DGLAP and ERBL regions, for two appropriately symmetrized input distributions based on conventional parton density functions. To illustrate the relative size of the NLO corrections a comparison is made with leading order evolution of the same distributions. For the first time, NLO results are given for both small and large values of the skewedness parameter, $ζ= x_{bj}$, i.e. for all of the kinematic range relevant to HERA and HERMES.

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arXiv2002

Presentations from DIS2002 in Krakow

Both of my talks at DIS2002, on Generalised Parton Distributions and Nuclear Shadowing are presented. In an appendix I summarise some of the discussions which followed the talks.

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arXiv2002

A next-to-leading order analysis of deeply virtual Compton scattering

We present a complete, next-to-leading-order (NLO), leading-twist QCD analysis of deeply virtual Compton scattering (DVCS) observables, in the ${\bar {MS}}$ scheme, and in the kinematic ranges of the H1, ZEUS and HERMES experiments. We use a modified form of Radyushkin's ansatz for the input model for the generalized parton distributions. We present results for leading order (LO) and NLO for representative observables and find that they compare favourably to the available data.

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arXiv2002

A next-to-leading order QCD analysis of deeply virtual Compton scattering amplitudes

We present a next-to-leading order (NLO) QCD analysis of unpolarized and polarized deeply virtual Compton scattering (DVCS) amplitudes, for two different input scenarios, in the $\bar{MS}$ scheme. We illustrate and discuss the size of the NLO effects and the behavior of the amplitudes in skewedness, $ζ$, and photon virtuality, $Q^2$. In the unpolarized case, at fixed $Q^2$, we find a remarkable effective power-law behaviour in $ζ$, akin to Regge factorization, over several orders of magnitude in $ζ$. We also quantify the ratio of real to imaginary parts of the DVCS amplitudes and their sensitivity to changes of the factorization scale.

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arXiv2000

The dipole picture of small x physics (a summary of the Amirim meeting)

A personal summary of the discussions which took place at the informal meeting in Amirim, Israel from June 1-4 2000, concerning the dipole picture of small-$x$ physics is presented. The broad aim of the meeting was to address the question ``Has HERA reached a new QCD regime (at small $x$) ?''. The new regime in question is the high-density, but weak-coupling, limit of perturbative QCD.

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arXiv1999

Diffractive photoproduction of Upsilon states at HERA

Cross sections for the diffractive photoproduction of the Upsilon-family at HERA energies, within the framework of the analysis by Frankfurt, Koepf and Strikman, are presented. They compare well with the recent preliminary data from ZEUS and H1. Two novel effects lead to a significant enhancement of the original calculation: the non-diagonal (or skewed) kinematics, calculated to leading-log(Q^2) accuracy, and the large magnitude of the real part of the amplitude. A considerably stronger rise in energy is predicted than that found in J/Psi-production.

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arXiv1999

Diffractive Photoproduction of $Υ$ at HERA

Predictions for the diffractive photoproduction of the $Υ$-family at HERA energies, within the framework of the analysis by Frankfurt, Koepf and Strikman, are presented. Two novel effects lead to a significant enhancement of the original calculation: the non-diagonal (or skewed) kinematics, calculated to leading-log($Q^2$) accuracy, and the large magnitude of the real part of the amplitude. The resultant cross sections are found to agree fairly well with recent preliminary data from ZEUS and H1. A strong correlation between the mass of the diffractively produced state and the energy dependence of the cross section is found. In particular, a considerably stronger rise in energy is predicted than that found in $J/ψ$-production.

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arXiv1998

Low x and diffraction: theory

Some outstanding issues in high energy scattering are discussed. Particular emphasis is placed on recent developments concerning the next-to-leading log corrections to the BFKL equation.

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arXiv1997

Are charm and high-$p_{\perp}$ jets the keys to understanding diffraction in DIS ?

Following an introduction which explains some basic ideas about diffraction, the semiclassical approach to diffraction in deep inelastic scattering (DIS) is outlined. Some phenomenological tests of this picture, concerning the $p_{\perp}$ and mass spectra of open charm and jet production are given.

hep-ph↗

arXiv1997

Gluon Radiation in Diffractive Electroproduction

Order $α_s$-corrections to the diffractive structure functions $F_L^D$ and $F_2^D$ at large $Q^2$ and small $x$ are evaluated in the semiclassical approach, where the initial proton is treated as a classical colour field. The diffractive final state contains a fast gluon in addition to a quark-antiquark pair. Two of these partons may have large transverse momentum. Our calculations lead to an intuitive picture of deep-inelastic diffractive processes which is very similar to Bjorken's aligned-jet model. Both diffractive structure functions contain leading twist contributions from high-$p_{\perp}$ jets.

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arXiv1997

High-$p_\perp$ Jets in Diffractive Electroproduction

The diffractive production of high-$p_{\perp}$ jets in deep-inelastic scattering is studied in the semiclassical approach. The $p_{\perp}$-spectra of $q {\bar q}$ and $q {\bar q} g$ diffractive final states are found to be qualitatively different. For $q {\bar q}$ final states, which are produced by `hard' colour-singlet exchange, the $p_{\perp}$-spectrum is much softer than for $q {\bar q} g$ final states, where the colour neutralization is `soft'. Furthermore, the two different final states can be clearly distinguished by their diffractive mass distributions.

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arXiv1997

Is charm the key to understanding diffraction in DIS ?

This talk concerns the production of open charm in diffractive deep inelastic scattering. This has been calculated recently in the context of the semi-classical approach to diffraction. A comparison is made to approaches in which the diffractive exchange is modelled by the exchange of two gluons in the $t$-channel. Two phenomenological test of the underlying partonic process are discussed.

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arXiv1997

Charm as a Key to Diffractive Processes

The diffractive production of open charm in deep-inelastic scattering is studied in the semiclassical approach which has been proposed recently. In this approach, the leading order process contains a charm quark pair and an additional gluon in the diffractive final state. The $p_{\perp}$-spectrum and the diffractive mass distribution are evaluated and compared with predictions based on perturbative two-gluon exchange calculations for charm quark pair production. It is shown that the $p_{\perp}$-spectrum provides a clear test of the underlying partonic process whereas the diffractive mass distribution reflects the non-perturbative mechanism of colour neutralization.

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arXiv1996

Diffractive structure functions in DIS

A review of theoretical models of diffractive structure functions in deep inelastic scattering (DIS) is presented with a view to highlighting distinctive features, that may be distinguished experimentally. In particular, predictions for the behaviour of the diffractive structure functions $F_2^D, F_L^D, F_2^{D(\mbox{\small{charm}})}$ are presented. The measurement of these functions at both small and high values of the variable $β$ and their evolution with $Q^2$ is expected to reveal crucial information concerning the underlying dynamics.

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arXiv1996

Further analysis of the BFKL equation with momentum cutoffs

In this paper we investigate the effect of introducing transverse momentum cutoffs on the BFKL equation. We present solutions in moment space for various models of the BFKL kernel for different combinations of these cutoffs. We improve on previous calculations by using the full BFKL kernel (rather than simplified analytic approximations). The significance of the next-to-leading or ``higher twist'' terms in the kernel are assessed. We find that, while these terms are negligible in the absence of cutoffs, introducing an infra-red cutoff markedly enhances their significance.

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arXiv1995

An analytic solution of the BFKL equation with momentum cutoffs

We outline a general method for obtaining the solution to the ($t=0$) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from energy-momentum conservation. Our method allows for the inclusion of an arbitrary number of poles in the kernel and is applicable to any input distribution. Taking Mellin transforms, we discuss the effect of introducing cutoffs by considering the singularity structure in the transform space. We present an improved calculation of the small-$x$ slope of the gluon density.

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