Initial state radiative corrections to Z0 pair production in e+ e- annihilation: The Semianalytical approach

\ width and, for the first time, all QED initial state radiative corrections (ISR) is presented. A semi-analytical technique is used: All angular phase space integrations, five for the tree level process, seven if ISR is included, are carried out analytically. The remaining phase space variables are the invariant masses of the two decaying

Z~0

\ bosons for tree level plus the reduced center of mass energy squared in the ISR case. Invariant masses are submitted to high precision numerical integration. Semi-analytical and numerical results for

e~+ e~-

\ center of mass energies between

\sqrt{s}=130

GeV and

1

TeV are reported. It is shown that the radiatively corrected cross-section splits into a universal, leading logarithm part with the tree level cross-section factorizing on one hand and a non-universal contribution on the other hand. A generalization to the case of Standard Model neutral boson pair production,

e~+ e~- \rightarrow (Z~0 Z~0, Z~0 \gamma, \gamma\gamma) \rightarrow f_1\bar{f_1} f_2\bar{f_2}(\gamma)

, is worked out in detail. The relevance of the presented calculation for the phenomenology of

e~+ e~-

\ collider physics is discussed, especially for

W

and Higgs physics both of which will be important topics in the near future. All significant technical details of the calculation are explained.

Note:

Ph.D. Thesis

thesis
electron positron: annihilation
annihilation: electron positron
Z0: pair production
pair production: Z0
Z0: decay
decay: Z0
Z0: width
final state: (4fermion)
(4fermion): final state

References(127)

Figures(0)

- Annals Phys. 17 891

Quantum theory of emission and absorption of radiation

Paul A.M. Dirac

- Proc.Roy.Soc.Lond.A 114 (1927) 243,
- Selected Papers on Quantum Electrodynamics, Edited by Julian Schwinger, New York: Dover Publications, 1958 (p.1-23)
•
DOI:
- 10.1098/rspa.1927.0039

On Quantum Field Theory. (In German)

- Z.Phys. 56 (1929) 1-61,
- IN *ENZ, C.P. (ED.), V. MEYENN, K. (ED.): WOLFGANG PAULI* 307-368. (Z. PHYS. 56 (1929) 1-61)
•
DOI:
- 10.1007/BF01340129

On Quantum Field Theory. 2. (In German)

- Z.Phys. 59 (1930) 168-190,
- IN *ENZ, C.P. (ED.), V. MEYENN, K. (ED.): WOLFGANG PAULI* 369-392. (Z. PHYS. 59 (1930) 168-190)
•
DOI:
- 10.1007/BF01341423

Electron and Gravitation. 1. (In German)

H. Weyl
(
- Princeton U.
)

- Z.Phys. 56 (1929) 330-352,
- Surveys High Energ.Phys. 5 (1986) 261-267,
•
DOI:
- 10.1007/BF01339504

Quantum electrodynamics. I A covariant formulation

Julian S. Schwinger
(
- Harvard U.
)

- Phys.Rev. 74 (1948) 1439,
•
DOI:
- 10.1103/PhysRev.74.1439

Space - time approach to quantum electrodynamics

R.P. Feynman
(
- Cornell U., LNS
)

- Phys.Rev. 76 (1949) 769-789,
•
DOI:
- 10.1103/PhysRev.76.769

Mathematical formulation of the quantum theory of electromagnetic interaction

R.P. Feynman
(
- Cornell U., LNS
)

- Phys.Rev. 80 (1950) 440-457,
•
DOI:
- 10.1103/PhysRev.80.440

An Operator calculus having applications in quantum electrodynamics

Richard P. Feynman
(
- Caltech
)

- Phys.Rev. 84 (1951) 108-128,
•
DOI:
- 10.1103/PhysRev.84.108

- Compt.Rend.Hebd.Seances Acad.Sci. 122 501

- Ric.Sci. 2 12

An attempt of a theory of beta radiation. 1.

E. Fermi
(
- Rome U.
)

- Z.Phys. 88 (1934) 161-177
•
DOI:
- 10.1007/BF01351864

Question of Parity Conservation in Weak Interactions

T.D. Lee
(
- Columbia U.
)
,
Chen-Ning Yang
(
- Brookhaven
)

- Phys.Rev. 104 (1956) 254-258,
- Erratum - ibid. 106 (1957) 1371,
- Also in *Yang, C.N.: Selected Papers 1945-1980*, 189-193
•
DOI:
- 10.1103/PhysRev.104.254

Experimental Test of Parity Conservation in $\beta$ Decay

- Phys.Rev. 105 (1957) 1413-1414,
- In *Cahn, R.N., Goldhaber, G.: The experimental foundations of particle physics* 171-172
•
DOI:
- 10.1103/PhysRev.105.1413

- Sov.Phys.JETP 32 405

On parity conservation and neutrino mass

Abdus Salam
(
- Cambridge U.
)

- Nuovo Cim. 5 (1957) 299-301,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 167-169
•
DOI:
- 10.1007/BF02812841

On the Interaction of Elementary Particles I

Hideki Yukawa
(
- Osaka U.
)

- Proc.Phys.Math.Soc.Jap. 17 (1935) 48-57,
- Prog.Theor.Phys.Suppl. 1 1-10
•
DOI:
- 10.1143/PTPS.1.1

Conservation of Isotopic Spin and Isotopic Gauge Invariance

Chen-Ning Yang
(
- Brookhaven
)
,
Robert L. Mills
(
- Brookhaven
)

- Phys.Rev. 96 (1954) 191-195,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 29-33, and in *Yang, C.N.: Selected Papers 1945-1980*, 172-176,
•
DOI:
- 10.1103/PhysRev.96.191

Broken Symmetry and the Mass of Gauge Vector Mesons

F. Englert
(
- Brussels U.
)
,
R. Brout
(
- Brussels U.
)

- Phys.Rev.Lett. 13 (1964) 321-323,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 127-129,
•
DOI:
- 10.1103/PhysRevLett.13.321

Broken Symmetries and the Masses of Gauge Bosons

Peter W. Higgs
(
- Edinburgh U.
)

- Phys.Rev.Lett. 13 (1964) 508-509,
- Also in *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 155-156,
•
DOI:
- 10.1103/PhysRevLett.13.508

Global Conservation Laws and Massless Particles

G.S. Guralnik
(
- Imperial Coll., London
)
,
C.R. Hagen
(
- Imperial Coll., London
)
,
T.W.B. Kibble
(
- Imperial Coll., London
)

- Phys.Rev.Lett. 13 (1964) 585-587,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 130-132,
•
DOI:
- 10.1103/PhysRevLett.13.585

Spontaneous Symmetry Breakdown without Massless Bosons

Peter W. Higgs
(
- North Carolina U.
)

- Phys.Rev. 145 (1966) 1156-1163,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 133-140
•
DOI:
- 10.1103/PhysRev.145.1156

Symmetry breaking in nonAbelian gauge theories

T.W.B. Kibble
(
- Imperial Coll., London
)

- Phys.Rev. 155 (1967) 1554-1561,
•
DOI:
- 10.1103/PhysRev.155.1554

Renormalizable Lagrangians for Massive Yang-Mills Fields

Gerard 't Hooft
(
- Utrecht U.
)

- Nucl.Phys.B 35 (1971) 167-188,
- Also in *Lichtenberg, D. B. ( Ed.), Rosen, S. P. ( Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 171-192, and in *Lai, C.H. (ed.) Gauge Theory of Weak and Electromagnetic Interactions*, 300-321,
•
DOI:
- 10.1016/0550-3213(71)90139-8

Partial Symmetries of Weak Interactions

S.L. Glashow
(
- Copenhagen U.
)

- Nucl.Phys. 22 (1961) 579-588,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 171-180
•
DOI:
- 10.1016/0029-5582(61)90469-2

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