Abstract:
By means of parametric representation for Feynman integrals it is
shown that the functions F(x1,…,xk) and
φ(x1,…,xk), whose generalized moments are proportional
to the reduced matrix elements of the k-particle composite
operators, possess the spectral properties needed for their parton
interpretation.
Citation:
A. V. Radyushkin, “Alpha representation and spectral properties of multiparton functions”, TMF, 61:2 (1984), 284–292; Theoret. and Math. Phys., 61:2 (1984), 1144–1149
This publication is cited in the following 6 articles:
B. Pire, K. Semenov-Tian-Shansky, L. Szymanowski, “Transition distribution amplitudes and hard exclusive reactions with baryon number transfer”, Physics Reports, 940 (2021), 1
A. V. Radyushkin, “Virtuality and transverse momentum dependence of the pion distribution amplitude”, Phys. Rev. D, 93:5 (2016)
A. V. Radyushkin, “Virtuality Distributions and Pion Transition Form Factor”, Int. J. Mod. Phys. Conf. Ser., 37 (2015), 1560050
A.V. Radyushkin, “Virtuality distributions in application to γγ⁎→π0 transition form factor at handbag level”, Physics Letters B, 735 (2014), 417
B. Pire, K. Semenov-Tian-Shansky, L. Szymanowski, “Spectral representation for baryon to meson transition distribution amplitudes”, Phys. Rev. D, 82:9 (2010)
A.V. Belitsky, G.P. Korchemsky, D. Müller, “Integrability of two-loop dilatation operator in gauge theories”, Nuclear Physics B, 735:1-3 (2006), 17