Two aspects of one loop structure: Unitarity delay in the Standard Model and modular invariance in string theory
Abstract
We study two aspects of one loop structures in quantum field theories which describe two different areas of particle physics: the one loop unitarity behavior of the Standard Model of electroweak interactions and modular invariance of string model theory. Loop expansion has its importance in that it contains quantum fluctuations due to all physical states in the theory. Therefore, by studying the various models to one loop, we can understand how the contents of the theory can contribute to physically measurable quantities and how the consistency at quantum level restricts the physical states of the theory, as well. In the first half of the thesis, we study one loop corrections to the process {ital e}{sup +}{ital e}{sup {minus}} {yields} {ital W}{sup +}{ital W}{sup {minus}}. In this process, there is a delicate unitarity-saving cancellation between s-channel and t-channel tree level Feynman diagrams. If the one loop contribution due to heavy particles corrects the channels asymmetrically, the cancellation, hence unitarity, will be delayed up to the mass scale of these heavy particles. We refer to this phenomena as the unitarity delay effect. Due to this effect, cross section below these mass scales can have significant radiative corrections which may provide an appropriatemore »
- Authors:
- Publication Date:
- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (USA)
- Sponsoring Org.:
- DOE/ER
- OSTI Identifier:
- 5580440
- Report Number(s):
- SLAC-349
ON: DE90000889; TRN: 89-025992
- DOE Contract Number:
- AC03-76SF00515
- Resource Type:
- Technical Report
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTRON-POSITRON INTERACTIONS; STANDARD MODEL; STRING MODELS; CROSS SECTIONS; FEYNMAN DIAGRAM; PARTITION FUNCTIONS; RADIATIVE CORRECTIONS; RIEMANN SPACE; SUPERSYMMETRY; W MINUS BOSONS; W PLUS BOSONS; BOSONS; COMPOSITE MODELS; CORRECTIONS; DIAGRAMS; ELEMENTARY PARTICLES; EXTENDED PARTICLE MODEL; FUNCTIONS; INTERACTIONS; INTERMEDIATE BOSONS; INTERMEDIATE VECTOR BOSONS; LEPTON-LEPTON INTERACTIONS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; PARTICLE INTERACTIONS; PARTICLE MODELS; QUARK MODEL; SPACE; SYMMETRY; UNIFIED GAUGE MODELS; 645400* - High Energy Physics- Field Theory; 645203 - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties
Citation Formats
Ahn, C. Two aspects of one loop structure: Unitarity delay in the Standard Model and modular invariance in string theory. United States: N. p., 1989.
Web. doi:10.2172/5580440.
Ahn, C. Two aspects of one loop structure: Unitarity delay in the Standard Model and modular invariance in string theory. United States. doi:10.2172/5580440.
Ahn, C. Tue .
"Two aspects of one loop structure: Unitarity delay in the Standard Model and modular invariance in string theory". United States.
doi:10.2172/5580440. https://www.osti.gov/servlets/purl/5580440.
@article{osti_5580440,
title = {Two aspects of one loop structure: Unitarity delay in the Standard Model and modular invariance in string theory},
author = {Ahn, C.},
abstractNote = {We study two aspects of one loop structures in quantum field theories which describe two different areas of particle physics: the one loop unitarity behavior of the Standard Model of electroweak interactions and modular invariance of string model theory. Loop expansion has its importance in that it contains quantum fluctuations due to all physical states in the theory. Therefore, by studying the various models to one loop, we can understand how the contents of the theory can contribute to physically measurable quantities and how the consistency at quantum level restricts the physical states of the theory, as well. In the first half of the thesis, we study one loop corrections to the process {ital e}{sup +}{ital e}{sup {minus}} {yields} {ital W}{sup +}{ital W}{sup {minus}}. In this process, there is a delicate unitarity-saving cancellation between s-channel and t-channel tree level Feynman diagrams. If the one loop contribution due to heavy particles corrects the channels asymmetrically, the cancellation, hence unitarity, will be delayed up to the mass scale of these heavy particles. We refer to this phenomena as the unitarity delay effect. Due to this effect, cross section below these mass scales can have significant radiative corrections which may provide an appropriate window through which we can see the high energy structure of the Standard Model from relatively low energy experiments. In the second half, we will show how quantum consistency can restrict the physical states in string theory. 53 refs., 13 figs.},
doi = {10.2172/5580440},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Aug 01 00:00:00 EDT 1989},
month = {Tue Aug 01 00:00:00 EDT 1989}
}
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Recently, it has been shown that the holomorphic anomaly of unitarity cuts can be used as a tool in determining the one-loop amplitudes in N = 4 super Yang-Mills theory. It is interesting to examine whether this method can be applied to more general cases. We present results for a non-MHV N = 1 supersymmetric one-loop amplitude. We show that the holomorphic anomaly of each unitarity cut correctly reproduces the action on the amplitude's imaginary part of the differential operators corresponding to collinearity in twistor space. We find that the use of the holomorphic anomaly to evaluate the amplitude requiresmore »