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The Systematics of Radiative Corrections and A Proposed Approximative Evaluation Scheme

Wallin Sonesson, Leo LU (2012) FYTM02 20121
Theoretical Particle Physics
Abstract
We propose an approximate scheme based on a saddle point approximation of propagators in higher order perturbation calculation. This scheme is applied to a general expression for one-loop scalar functions, and thereafter used to calculate the anomalous magnetic moment of the electron. The scheme is shown to be increasingly precise as the number of propagators increase, spanning a precision of 0.72 for the exact calculation for a three-Point function, to 0.90 for a five-Point function. The possible applications of this approximation, as well as it’s extension to divergent diagrams and higher-loop calculations are discussed.
In addition, the general systematics of one-loop expressions are reviewed, as well as an introduction to... (More)
We propose an approximate scheme based on a saddle point approximation of propagators in higher order perturbation calculation. This scheme is applied to a general expression for one-loop scalar functions, and thereafter used to calculate the anomalous magnetic moment of the electron. The scheme is shown to be increasingly precise as the number of propagators increase, spanning a precision of 0.72 for the exact calculation for a three-Point function, to 0.90 for a five-Point function. The possible applications of this approximation, as well as it’s extension to divergent diagrams and higher-loop calculations are discussed.
In addition, the general systematics of one-loop expressions are reviewed, as well as an introduction to regularization and renormalization. (Less)
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author
Wallin Sonesson, Leo LU
supervisor
organization
course
FYTM02 20121
year
type
H2 - Master's Degree (Two Years)
subject
keywords
saddle point, loop diagram approximations
language
English
id
3163763
date added to LUP
2013-01-23 23:39:49
date last changed
2013-01-23 23:39:49
@misc{3163763,
  abstract     = {We propose an approximate scheme based on a saddle point approximation of propagators in higher order perturbation calculation. This scheme is applied to a general expression for one-loop scalar functions, and thereafter used to calculate the anomalous magnetic moment of the electron. The scheme is shown to be increasingly precise as the number of propagators increase, spanning a precision of 0.72 for the exact calculation for a three-Point function, to 0.90 for a five-Point function. The possible applications of this approximation, as well as it’s extension to divergent diagrams and higher-loop calculations are discussed.
In addition, the general systematics of one-loop expressions are reviewed, as well as an introduction to regularization and renormalization.},
  author       = {Wallin Sonesson, Leo},
  keyword      = {saddle point,loop diagram approximations},
  language     = {eng},
  note         = {Student Paper},
  title        = {The Systematics of Radiative Corrections and A Proposed Approximative Evaluation Scheme},
  year         = {2012},
}