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In this paper the authors present the result of a direct QCD sum rule calculation of the transition form factor[gamma][gamma][sup*][r-arrow][pi][sup 0] in the region of moderately large invariant momentum Q[sup 2]> 1GeV[sup 2] of the virtual photon. In contrast to pQCD, they make no assumptions about the shape of the pion distribution amplitude[var-phi][sub[pi]](x). Their results agree with the Brodsky-Lepage proposal that the Q[sup 2]-dependence of this form factor is given by an interpolation between its Q[sup 2]=0 value fixed by the axial anomaly and 1/Q[sup 2] pQCD behavior for large Q[sup 2], with normalization corresponding to the asymptotic form[var-phi][sub pi][sup as](x)=6 f[sub[pi]]x(1[minus]x) of the pion distribution amplitude. Their prediction for the from factor F[sub[gamma]][sup*][gamma][sup*][pi][sup 0](q[sub 1][sup 2]= 0,q[sub 2][sup 2]=[minus]Q[sup 2]) is in good agreement with new CLEO data.
In this paper the authors present the result of a direct QCD sum rule calculation of the transition form factor [gamma][gamma]{sup *} 2![pi]° in the region of moderately large invariant momentum Q2> 1GeV2 of the virtual photon. In contrast to pQCD, they make no assumptions about the shape of the pion distribution amplitude {var_phi}{sub [pi]}(x). Their results agree with the Brodsky-Lepage proposal that the Q2-dependence of this form factor is given by an interpolation between its Q2=0 value fixed by the axial anomaly and 1/Q2 pQCD behavior for large Q2, with normalization corresponding to the asymptotic form {var_phi}{sub pi}{sup as}(x)=6 f{sub {pi}}x(1-x) of the pion distribution amplitude. Their prediction for the from factor F{sub [gamma]}{sup *}{gamma}{sup *}{pi}°(q12 = 0,q22 = -Q2) is in good agreement with new CLEO data.
In this paper the authors present the result of a direct QCD sum rule calculation of the transition form factor??{sup *} →?° in the region of moderately large invariant momentum Q2> 1GeV2 of the virtual photon. In contrast to pQCD, they make no assumptions about the shape of the pion distribution amplitude {var_phi}{sub?}(x). Their results agree with the Brodsky-Lepage proposal that the Q2-dependence of this form factor is given by an interpolation between its Q2=0 value fixed by the axial anomaly and 1/Q2 pQCD behavior for large Q2, with normalization corresponding to the asymptotic form {var_phi}{sub pi}{sup as}(x)=6 f{sub {pi}}x(1-x) of the pion distribution amplitude. Their prediction for the from factor F{sub?}{sup *}{gamma}{sup *}{pi}°(q12 = 0,q22 = -Q2) is in good agreement with new CLEO data.
This book introduces the phenomenology and theory of hadron form factors in a consistent manner, deriving step-by-step the key equations, defining the form factors from the matrix elements of hadronic transitions and deriving their symmetry relations. Explained are several general concepts of particle theory and phenomenology exemplified by hadron form factors. The main emphasis here is on learning the analytical methods in particle phenomenology. Many examples of hadronic processes involving form factors are considered, from the pion electromagnetic scattering to heavy B-meson decays. In the second part of the book, modern techniques of the form factor calculation, based on the method of sum rules in the theory of strong interactions, quantum chromodynamics, are introduced in an accessible manner. This book will be a useful guide for graduate students and early-career researchers working in the field of particle phenomenology and experiments. Features: • The first book to address the phenomenology of hadron form factors at a pedagogical level in one coherent volume • Contains up-to-date descriptions of the most important form factors of the electroweak transitions investigated in particle physics experiments
The main focus of this book is on experimental results from electron-positron and electron-proton colliders and related theoretical questions, particularly on hadron production at energies from 1 to 100 GeV and higher. The topics discussed include photo- and electroproduction of heavy flavours, the photon structure function, total cross section, jet production and resonance production. The future of the field is also discussed, notably experiments at linear photon-photon colliders.
This book covers a wide range of problems in elementary particle production physics OCo particle fluctuations and correlations, diffractive processes, soft and hard processes in quantum chromodynamics, heavy ion collisions, etc. Of the utmost importance are inclusion-theoretical papers devoted to the problems associated with high and even very high multiplicity particle production, making proposals for experiments at existing and forthcoming colliders of elementary particles."
The theory of the muon anomalous magnetic moment is particle physics in a nutshell. It is an interesting, exciting and difficult subject, and this book provides a comprehensive review of it. The theory of the muon anomalous magnetic moment is at the cutting edge of current research in particle physics, and any deviation between the theoretical prediction and the experimental value might be interpreted as a signal of an as-yet-unknown new physics.
The method of the QCD sum rules was and still is one of the most productive tools in a wide range of problems associated with the hadronic phenomenology. Many heuristic ideas, computational devices, specific formulae which are useful to theorists working not only in hadronic physics, have been accumulated in this method. Some of the results and approaches which have originally been developed in connection with the QCD sum rules can be and are successfully applied in related fields, such as supersymmetric gauge theories, nontraditional schemes of quarks and leptons etc. The amount of literature on these and other more basic problems in hadronic physics has grown enormously in recent years. This volume presents a collection of papers which provide an overview of all basic elements of the sum rule approach and priority has been given to those works which seemed most useful from a pedagogical point of view.