Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 6 of 6 for “"Feynman integrals."”.
-
On Different Parametrizations of Feynman Integrals
… insights on the mathematical structures of Feynman integrals.</p> <p>We start by presenting phenomenological calculations relevant for the experimental analyses at the Large Hadron Collider. We use the resummation of soft gluon emission corrections to study the associated production of a top …
-
Feynman integrals, hypergeometric functions and nested sums
… of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions. After finding hypergeometric representations with half-integer coefficients, we use algorithms which we implemented in FORM to expand these in terms of nested sums.
-
Dimensionally Regulated On-Shell Renormalisation In QCD And QED
… which allows us to reduce complicated on-shell Feynman integrals to a large number of simple integrals, and one particularly complicated, but evaluable, one. The method extends the work of Chetyrkin and Tkachov to massive integrals, and is applicable to on-shell mass and wavefunction …
-
Three-Point Correlator and Pion Form Factor in Quantum Chromodynamics: Methods of Calculation for Two-Loop Spectral Density
… regions of momentum integrations inside Feynman integrals. The trace factors accompanying all six two-loop diagrams are calculated and classified. To regularize particular loop integrals, the dimensional regularization technique has been used. The calculation involves such methods as …
-
Quantum Chromodynamics and the Precision Phenomenology of Heavy Quarks
… invariants multiplying a basis of master integrals. We address the problem of the solution of a system of integration-by-parts identities for Feynman integrals and demonstrate how some current difficulties may be overcome. We consider also the properties of the top quark, and present the …
-
On the path integral formulation and the evaluation of quantum statistical averages
Four problems of physical interest have been solved in this thesis using the path integral formalism. Using the trigonometric expansion method of Burton and de Borde (1955), we found the kernel for two interacting one dimensional oscillators• The result is the same as one would obtain using a …