Mikhailov, S. V., Pimikov, A. V., & Stefanis, N. G. (2014). Theoretical Description and Measurement of the Pion-Photon Transition Form Factor. Few-Body Syst., 55(5-7), 367–372.
Abstract: Detailed predictions for the scaled pion-photon transition form factor are given, derived with the method of light-cone sum rules and using pion distribution amplitudes with two and three Gegenbauer coefficients obtained from QCD sum rules with nonlocal condensates. These predictions agree well with all experimental data that are compatible with QCD scaling (and collinear factorization), but disagree with the high-Q(2) data of the BaBar Collaboration that grow with the momentum. A good agreement of our predictions with results obtained from AdS/QCD models and Dyson-Schwinger computations is found.
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Pimikov, A. V., Mikhailov, S. V., & Stefanis, N. G. (2014). Rho Meson Distribution Amplitudes from QCD Sum Rules with Nonlocal Condensates. Few-Body Syst., 55(5-7), 401–406.
Abstract: The leading-twist distribution amplitude for the longitudinal rho-meson was studied using QCD Sum Rules with nonlocal condensates and a spectral density which includes next-to-leading order radiative corrections. The obtained profile is compared with results from standard QCD sum rules, lattice QCD, holographic QCD, a light-front quark model, and the instanton liquid model. Preliminary estimates for the first two moments of the transverse rho-meson distribution amplitude are also given.
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Bakulev, A. P., Mikhailov, S. V., Pimikov, A. V., & Stefanis, N. G. (2012). Comparing antithetic trends of data for the pion-photon transition form factor. Phys. Rev. D, 86(3), 031501–5pp.
Abstract: We perform a comparative theoretical study of the data at spacelike momentum transfer for the gamma*gamma -> pi(0) transition form factor, just reported by the Belle Collaboration, vs. those published before by BABAR, also including the older CLEO and CELLO data. Various implications for the structure of the pi(0) distribution amplitude vis-a-vis those data are discussed and the existing theoretical predictions are classified into three distinct categories. We argue that the actual bifurcation of the data with antithetic trends is artificial and reason that the Belle data are the better option.
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Stefanis, N. G., Bakulev, A. P., Mikhailov, S. V., & Pimikov, A. V. (2013). Can we understand an auxetic pion-photon transition form factor within QCD? Phys. Rev. D, 87(9), 094025–13pp.
Abstract: A state-of-the-art analysis of the pion-photon transition form factor is presented based on an improved theoretical calculation that includes the effect of a finite virtuality of the quasireal photon in the method of light-cone sum rules. We carry out a detailed statistical analysis of the existing experimental data using this method and by employing pion distribution amplitudes with up to three Gegenbauer coefficients a(2), a(4), a(6). Allowing for an error range in the coefficient a(6) approximate to 0, the theoretical predictions for gamma*gamma -> pi(0) obtained with nonlocal QCD sum rules are found to be in good agreement with all data that support a scaling behavior of the transition form factor at higher Q(2), like those of the Belle Collaboration. The data on gamma*gamma -> eta/eta' from CLEO and BABAR are also reproduced, while there is a strong conflict with the auxetic trend of the BABAR data above 10 GeV2. The broader implications of these findings are discussed.
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Ayala, C., & Mikhailov, S. V. (2015). How to perform a QCD analysis of DIS in analytic perturbation theory. Phys. Rev. D, 92(1), 014028–11pp.
Abstract: We apply (fractional) analytic perturbation theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function F-2(x, Q(2)) in deep inelastic scattering up to the next leading order and compare the results with ones obtained within the standard perturbation QCD. Based on a popular parametrization of the corresponding parton distribution we perform the analysis within the Jacobi polynomial formalism and under the control of the numerical inverse Mellin transform. To reveal the main features of the FAPT two-loop approach, we consider a wide range of momentum transfer from high Q(2) similar to 100 GeV2 to low Q(2) similar to 0.3 GeV2 where the approach still works.
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