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The Anatomy of the Pion Loop Hadronic Light by Light Scattering Contribution to the Muon Magnetic Anomaly

Zahiriabyaneh, Mehran LU (2012) FYTM02 20121
Theoretical Particle Physics
Abstract
This thesis investigates the Hadronic Light by Light (HLL) scattering contribution
to the muon g − 2, which is one of the most important low energy hadronic effects
and consists mainly of the quark loop, the pion pole and the charged pion and
kaon loops. In this work the charged pion loop has been investigated more closely.
After reviewing the subject a preliminary introduction to Chiral Perturbation Theory (ChPT), Hidden Local Symmetry (HLS) model and the full Vector Meson Dominance (VMD) model is given, and they are used to calculate the pion loop HLL scattering contribution to the muon anomalous magnetic moment. The momentum regions where the contributions of the bare pion loop, the VMD model, and the HLS come from, have been... (More)
This thesis investigates the Hadronic Light by Light (HLL) scattering contribution
to the muon g − 2, which is one of the most important low energy hadronic effects
and consists mainly of the quark loop, the pion pole and the charged pion and
kaon loops. In this work the charged pion loop has been investigated more closely.
After reviewing the subject a preliminary introduction to Chiral Perturbation Theory (ChPT), Hidden Local Symmetry (HLS) model and the full Vector Meson Dominance (VMD) model is given, and they are used to calculate the pion loop HLL scattering contribution to the muon anomalous magnetic moment. The momentum regions where the contributions of the bare pion loop, the VMD model, and the HLS come from, have been studied, to understand why different models give very different results. The effects of pion polarizability and charge radius on the HLL scattering, which appear at order p4 in ChPT, from L9 and L10 Lagrangian terms and their momentum regions have been studied. (Less)
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author
Zahiriabyaneh, Mehran LU
supervisor
organization
course
FYTM02 20121
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Hadronic Light by Light, Muon Magnetic Anomaly, Hidden Local Symmetry, Chiral Perturbation Theory, Vector Meson Dominance
language
English
id
2827020
date added to LUP
2013-01-30 12:58:30
date last changed
2013-01-30 12:58:30
@misc{2827020,
  abstract     = {This thesis investigates the Hadronic Light by Light (HLL) scattering contribution
to the muon g − 2, which is one of the most important low energy hadronic effects
and consists mainly of the quark loop, the pion pole and the charged pion and
kaon loops. In this work the charged pion loop has been investigated more closely.
After reviewing the subject a preliminary introduction to Chiral Perturbation Theory (ChPT), Hidden Local Symmetry (HLS) model and the full Vector Meson Dominance (VMD) model is given, and they are used to calculate the pion loop HLL scattering contribution to the muon anomalous magnetic moment. The momentum regions where the contributions of the bare pion loop, the VMD model, and the HLS come from, have been studied, to understand why different models give very different results. The effects of pion polarizability and charge radius on the HLL scattering, which appear at order p4 in ChPT, from L9 and L10 Lagrangian terms and their momentum regions have been studied.},
  author       = {Zahiriabyaneh, Mehran},
  keyword      = {Hadronic Light by Light,Muon Magnetic Anomaly,Hidden Local Symmetry,Chiral Perturbation Theory,Vector Meson Dominance},
  language     = {eng},
  note         = {Student Paper},
  title        = {The Anatomy of the Pion Loop Hadronic Light by Light Scattering Contribution to the Muon Magnetic Anomaly},
  year         = {2012},
}