TY  - GEN
TI  - Towards the Hot Sphaleron Rate and Sizable CP Violation in the Standard Model
N2  - In this work we study two aspects of the Standard Model related to baryogenesis at the electroweak scale. The first deals with CP violation. For some time now, it has been thought that CP violation within the Standard Model was too weak to be able to produce the baryon asymmetry of the universe. The argument is based on the small value of the Jarslkog's determinant, $sim10^{-19}$, but the latter is a perturbative calculation and CP violation in experiments can be much larger, e.g. in the Kaon system of order $10^{-3}$. With the use of the worldline method, we derive a one-loop effective action by integrating out the fermions in the next-to-leading order of a gradient expansion. The CP violation, previously present in the fermion sector, manifests as CP violating operators in the effective action. By treating the fermion masses non-perturbatively, albeit with their derivatives treated perturbatively as befits a gradient expansion, we find the operators not to be suppressed by the Jarlskog determinant, but by the Jarlskog invariant, which is of order $10^{-5}$.  The second part of this work deals with the infrared analysis of Bödeker's effective theory, which encodes the dynamics of weakly coupled, non-abelian gauge fields at high temperature with characteristic momentum scale of order $|myvec{k}|sim g^2 T$. The motivation for this is the eventual analytic calculation of the hot sphaleron rate, which is directly proportional to the rate of baryon number violation in the symmetric phase. After transcribing Bödeker's effective theory from a Langevin equation into an Euclidean path integral, we derive Dyson-Schwinger equations. We introduce an ansatz intended to solve the infrared dominated equations, and find the expected enhanced gauge propagator. An analogous role to the ghost propagator in Yang-Mills  theory is played by the mixed propagator, which is suppressed.
A1  - Hernández Canseco, Andrés
AV  - public
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/9937/
KW  - Baryogenesis 
KW  -  SphaleronBaryogenesis 
KW  -  Sphaleron
Y1  - 2009///
ID  - heidok9937
ER  -