1,721,242 research outputs found

    Progress in small x resummation

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    I review recent theoretical progress in the resummation of small x contributions to the evolution of parton distributions, in view of its potential significance for accurate phenomenology at future colliders. I show that a consistent perturbative resummation of collinear and energy logs is now possible, and necessary if one wishes to use recent NNLO results in the HERA kinematic region

    Counting the cost

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    Parton distributions at the dawn of the LHC

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    We review basic ideas and recent developments on the determination of the parton substructure of the nucleon in view of applications to precision hadron collider physics. We review the way information on PDFs is extracted from the data exploiting QCD factorisation, and discuss the current main two approaches to parton determination (Hessian and Monte Carlo) and their use in conjunction with different kinds of parton parameterisation. We summarise the way different physical processes can be used to constrain different aspects of PDFs. We discuss the meaning, determination and use of parton uncertainties. We briefly summarise the current state of the art on PDFs for LHC physics

    Structure functions and parton distributions

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    I review recent progress in the determination of the parton structure of the nucleon, in particular from deep-inelastic structure functions. I explain how the needs of current and future precision phenomenology; specifically at the LHC, have turned the determination of parton distributions into a quantitative problem. I describe the results and difficulties of current approaches and ideas to go beyond them

    Progress in the determination of the partonic structure of the proton

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    We review the state of the art of the determination of the parton substructure of the nucleon, as expressed in terms of parton distribution functions (PDFs) and probed in high-energy lepton–hadron and hadron–hadron collisions. We also assess their implications for current precision collider phenomenology, in particular at the Large Hadron Collider (LHC). We review the theoretical foundations of PDF determination: how cross sections are expressed in terms of PDFs by use of perturbative QCD factorization and evolution, the methodology used to extract PDFs from experimental data, and how different physical processes can be used to constrain different PDFs. We summarize current knowledge of PDFs and the limitations in accuracy that this knowledge currently entails for the computation of hadron collider processes, in particular at the LHC. We discuss the current main sources of theoretical and phenomenological uncertainties and the direction of progress toward their reduction in the future

    Geometric scaling from Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution

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    We show that the geometric scaling of the total virtual photon-proton cross section data can be explained using standard linear Dokshitzer-Gribov-Lipatov-Altarelli-Parisi perturbative evolution with generic boundary conditions in a wide kinematic region. This allows us to single out the region where geometric scaling may provide evidence for parton saturatio

    Spin in quantum field theory

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    I introduce spin in field theory by emphasizing the close connection between quantum field theory and quantum mechanics. First, I show that the spinstatistics connection can be derived in quantum mechanics without relativity or field theory. Then, I discuss path integrals for spin without using spinors. Finally, I show how spin can be quantized in a path-integral approach, without introducing anticommuting variables
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