Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-02-29
Phys.Rev. D62 (2000) 096011
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 5 figures, typos corrected. Version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.62.096011
Starting from the known one-loop result for the $e^{+}e^{-}$-annihilation process $e^{+}e^{-}\stackrel{\gamma,Z} {\longrightarrow} q\bar{q}g$ with massless quarks we employ analyticity and crossing to determine the absorptive parts of the corresponding one-loop contributions in Deep Inelastic Scattering (DIS) and in the Drell-Yan process (DY). Whereas the ${\cal O}(\alpha_s^2)$ absorptive parts generate a non-measurable phase factor in the $e^{+}e^{-}$-annihilation channel one obtains measurable phase effects from the one-loop contributions in the deep inelastic and in the Drell-Yan case. We compare our results with the results of previous calculations where the absorptive parts in DIS and in the DY process were calculated directly in the respective channels. We also present some new results on the dispersive and absorptive contributions of the triangle anomaly graph to the DIS process.
Körner Juergen G.
Melic Blazenka
Merebashvili Zakaria
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