Two-loop contributions to muon decay:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
1997
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zsfassung in dt. Sprache. - Würzburg, Univ., Diss., 1997 |
| Physical Description: | II, 89 S. graph. Darst. |
Staff View
MARC
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| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Zsfassung in dt. Sprache. - Würzburg, Univ., Diss., 1997 | ||
| 502 | |a Würzburg, Univ., Diss., 1997 | ||
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Record in the Search Index
| _version_ | 1807320161297891328 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
2
THE
MUON
DECAY
4
2.1
PHENOMENOLOGY
AND
THE
FERMI
MODEL
.
4
2.2
DEFINITIONS
.
5
2.3
ONE-LOOP
RESULTS
.
7
2.4
STATUS
OF
CALCULATIONS
OF
LOOP
CONTRIBUTIONS
TO
MUON
DECAY
.
10
2.5
PHYSICAL
RELEVANCE
OF
AR
.
11
3
NUMERICAL
METHODS
FOR
THE
EVALUATION
OF
TWO-LOOP
INTEGRALS
IN
THE
STAN
DARD
MODEL
13
3.1
TWO-LOOP
VACUUM-INTEGRALS
.
14
3.2
TWO-LOOP
SELF-ENERGY
INTEGRALS
.
16
3.2.1
ONE-DIMENSIONAL
INTEGRAL
REPRESENTATIONS
FOR
INTEGRALS
WITH
A
SELF
ENERGY
SUBLOOP
.
17
3.2.2
DISPERSION
APPROACH
TO
THE
MASTER
INTEGRAL
.
19
3.2.3
THE
MOMENTUM
DERIVATIVE
OF
THE
MASTER
INTEGRAL
.
31
3.2.4
ANALYTICAL
EXPRESSIONS
FOR
TWO-LOOP
SELF-ENERGY
INTEGRALS
IN
THE
GEN
ERAL
MASS
CASE
.
31
3.2.5
ORTHOGONAL
AND
PARALLEL
SPACE
INTEGRATION
OF
THE
SELF-ENERGY
MASTER
INTEGRAL
.
33
3.2.6
TAYLOR
EXPANSIONS
IN
THE
EXTERNAL
MOMENTUM
.
34
3.2.7
ASYMPTOTIC
EXPANSIONS
.
35
3.3
THREE-POINT
FUNCTIONS,
FOUR-POINT
FUNCTIONS
AND
MORE
.
35
3.3.1
FEYNMAN
PARAMETER
INTEGRATION
.
35
3.3.2
ORTHOGONAL
AND
PARALLEL
SPACE
TECHNIQUE
AND
EXPANSIONS
IN
THE
MO
MENTA
.
37
4
TWO-LOOP
ON-SHELL
RENORMALIZATION
OF
THE
ELECTROWEAK
STANDARD
MODEL
38
4.1
GAUGE
FIXING,
BRS-TRANSFORMATIONS
AND
SLAVNOV-TAYLOR
IDENTITIES
.
38
4.2
FORMAL
FORMULATION
OF
THE
GAUGE
FIXING
.
39
4.3
APPLICATION
TO
THE
STANDARD
MODEL
.
41
4.4
TWO-LOOP
COUNTERTERMS
FOR
THE
CALCULATION
OF
THE
MUON
DECAY
CONSTANT
.
45
4.5
RENORMALIZATION
OF
THE
WEAK
MIXING
ANGLE
AND
THE
CHARGE
RENORMALIZATION
.
50
4.6
COUNTERTERMS
IN
THE
GHOST
SECTOR
.
52
5
DETAILS
OF
THE
CALCULATION
54
5.1
GENERATION
OF
FEYNMAN
DIAGRAMS
.
54
5.2
TENSOR
REDUCTION
.
54
5.3
RENORMALIZATION
.
56
5.4
DECOMPOSITIONS
OF
DIVERGENT
INTEGRALS
.
57
5.5
ALGEBRAIC
SIMPLIFICATIONS
AND
EXPANSION
IN
THE
REGULARIZATION
CONSTANT
5
.
.
61
5.6
NUMERICAL
EVALUATION
.
61
6
RESULTS
64
6.1
TWO-LOOP
TOP-QUARK
AND
HIGGS-BOSON
CONTRIBUTIONS
TO
THE
SELF-ENERGIES
OF
THE
W
BOSON
AND
OF
THE
Z
BOSON
.
64
6.2
COMPARISON
WITH
THE
EXPANSION
IN
M,
.
65
6.3
SENSITIVITY
OF
TWO-LOOP
TOP-QUARK
CORRECTIONS
TO
AR
ON
THE
HIGGS-BOSON
MASS
72
7
CONCLUSION
77
REFERENCES
80 |
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| author | Bauberger, Stefan 1960- |
| author_GND | (DE-588)118156926 |
| author_facet | Bauberger, Stefan 1960- |
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| bvnumber | BV011807322 |
| ctrlnum | (OCoLC)245675187 (DE-599)BVBBV011807322 |
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| id | DE-604.BV011807322 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:20:18Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007972355 |
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| physical | II, 89 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| spelling | Bauberger, Stefan 1960- Verfasser (DE-588)118156926 aut Two-loop contributions to muon decay von Stefan Bauberger 1997 II, 89 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zsfassung in dt. Sprache. - Würzburg, Univ., Diss., 1997 Würzburg, Univ., Diss., 1997 Zweischleifenintegral (DE-588)4474152-2 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd rswk-swf Zerfall (DE-588)4067675-4 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf Myon (DE-588)4170940-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Myon (DE-588)4170940-8 s Zerfall (DE-588)4067675-4 s Standardmodell Elementarteilchenphysik (DE-588)4297710-1 s Störungstheorie (DE-588)4128420-3 s Computeralgebra (DE-588)4010449-7 s DE-604 Zweischleifenintegral (DE-588)4474152-2 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007972355&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bauberger, Stefan 1960- Two-loop contributions to muon decay Zweischleifenintegral (DE-588)4474152-2 gnd Störungstheorie (DE-588)4128420-3 gnd Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd Zerfall (DE-588)4067675-4 gnd Computeralgebra (DE-588)4010449-7 gnd Myon (DE-588)4170940-8 gnd |
| subject_GND | (DE-588)4474152-2 (DE-588)4128420-3 (DE-588)4297710-1 (DE-588)4067675-4 (DE-588)4010449-7 (DE-588)4170940-8 (DE-588)4113937-9 |
| title | Two-loop contributions to muon decay |
| title_auth | Two-loop contributions to muon decay |
| title_exact_search | Two-loop contributions to muon decay |
| title_full | Two-loop contributions to muon decay von Stefan Bauberger |
| title_fullStr | Two-loop contributions to muon decay von Stefan Bauberger |
| title_full_unstemmed | Two-loop contributions to muon decay von Stefan Bauberger |
| title_short | Two-loop contributions to muon decay |
| title_sort | two loop contributions to muon decay |
| topic | Zweischleifenintegral (DE-588)4474152-2 gnd Störungstheorie (DE-588)4128420-3 gnd Standardmodell Elementarteilchenphysik (DE-588)4297710-1 gnd Zerfall (DE-588)4067675-4 gnd Computeralgebra (DE-588)4010449-7 gnd Myon (DE-588)4170940-8 gnd |
| topic_facet | Zweischleifenintegral Störungstheorie Standardmodell Elementarteilchenphysik Zerfall Computeralgebra Myon Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007972355&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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