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    Next-to-next-to-leading order prediction for the photon-to-pion transition form factor

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    We evaluate the next-to-next-to-leading order corrections to the hard-scattering amplitude of the photon-to-pion transition form factor. Our approach is based on the predictive power of the conformal operator product expansion, which is valid for a vanishing β\beta-function in the so-called conformal scheme. The Wilson--coefficients appearing in the non-forward kinematics are then entirely determined from those of the polarized deep-inelastic scattering known to next-to-next-to-leading accuracy. We propose different schemes to include explicitly also the conformal symmetry breaking term proportional to the β\beta-function, and discuss numerical predictions calculated in different kinematical regions. It is demonstrated that the photon-to-pion transition form factor can provide a fundamental testing ground for our QCD understanding of exclusive reactions.Comment: 62 pages LaTeX, 2 figures, 9 tables; typos corrected, some references added, to appear in Phys. Rev.

    Next time must be different. CEPS Commentaries, 4 November 2009

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    In signing the Lisbon Treaty on November 3rd, Czech President Václav Klaus brought to an anti-climatic close years of protracted and often acrimonious negotiations to overhaul the European Union’s institutional infrastructure. The EU's reform treaty is now fully ratified and is expected to enter into force on 1 December 2009. However frustrating and bruising the ratification experience may have been, it is hoped that the whole saga will have the unintended (but finally, positive) consequence of strengthening the determination of those wishing to ensure that the next round of treaty change can enter into force even if one or more member countries is not willing or able to agree to it

    Creating a National Network of Energy Discovery-Innovation Institutes: A Step Toward America's Energy Sustainability

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    Draft 1.1http://deepblue.lib.umich.edu/bitstream/2027.42/88576/1/2008_NREN_Draft_1.2.pd

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    Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order

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    We compute the energy levels of some of the lower-lying heavy quarkonium states perturbatively up to O(alpha_s^5*m) and O(alpha_s^5*m*log[alpha_s]). Stability of the predictions depends crucially on the unknown 4-loop pole-MSbar mass relation. We discuss the current status of the predictions with respect to the observed bottomonium spectrum.Comment: Short review on non-perturbative contributions included at the end; version to appear in Phys.Lett.; 7 pages, 2 figure

    The two-nucleon system at next-to-next-to-next-to-leading order

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    We consider the two-nucleon system at next-to-next-to-next-to-leading order (N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin-breaking and relativistic corrections. We employ spectral function regularization for the multi-pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low-energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four-nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length. The description of nucleon-nucleon scattering and the deuteron observables at N^3LO is improved compared to the one at NLO and NNLO. The theoretical uncertainties in observables are estimated based on the variation of the cut-offs in the spectral function representation of the potential and in the regulator utilized in the Lippmann-Schwinger equation.Comment: 62 pp, 13 fig
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