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Bolzoni, Paolo; Trocsanyi, Zoltan; Hungarian Academy of Sciences, Debrecen
Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)2010
Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)2010
AbstractAbstract
[en] We perform the integration of all iterated singly-unresolved subtraction terms over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a convolution (in colour space) of the Born cross section and an insertion operator. We spell out the insertion operator in terms of 24 basic integrals that are defined explicitly. We compute the coefficients of the Laurent-expansion of these integrals in two different ways, with the method of Mellin-Barnes representations and sector decomposition. Finally, we present the Laurentexpansion of the full insertion operator for the specific examples of electron-positron annihilation into two and three jets. (orig.)
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Nov 2010; 85 p; SFB-CPP--10-106; ISSN 0418-9833; 

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ALGORITHMS, ANALYTIC FUNCTIONS, BORN APPROXIMATION, COLOR MODEL, DIFFERENTIAL CROSS SECTIONS, ELECTRON-POSITRON INTERACTIONS, FACTORIZATION, FLAVOR MODEL, HADRONS, ITERATIVE METHODS, JET MODEL, MATRIX ELEMENTS, MULTIPLE PRODUCTION, PAIR PRODUCTION, PERTURBATION THEORY, POWER SERIES, QUANTUM CHROMODYNAMICS, QUANTUM OPERATORS, SCATTERING AMPLITUDES, TWO-BODY PROBLEM
AMPLITUDES, APPROXIMATIONS, CALCULATION METHODS, COMPOSITE MODELS, CROSS SECTIONS, ELEMENTARY PARTICLES, FIELD THEORIES, FUNCTIONS, INTERACTIONS, LEPTON-LEPTON INTERACTIONS, MANY-BODY PROBLEM, MATHEMATICAL LOGIC, MATHEMATICAL MODELS, MATHEMATICAL OPERATORS, PARTICLE INTERACTIONS, PARTICLE MODELS, PARTICLE PRODUCTION, QUANTUM FIELD THEORY, QUARK MODEL, SERIES EXPANSION
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