Development of electroweak interaction theory based on electron-positron scattering
Keywords:
linear colliders, Standard Model, electron-positron collisions, production cross sectionAbstract
The programs of research on linear colliders of a new generation are considered. The analytical Lorentz invariant calculation of the amplitudes and squares of matrix elements of the process of the muon antimuon pair generation as a result of the electron-positron annihilation at high energies is performed on the basis of Feynman diagram technique. It is shown that taking into account the weak interaction in the calculation of this process is necessary even in the lowest order of the perturbation theory. Numerical analysis of the differential and total cross sections of the process, as well as the forward-backward asymmetry, taking into account the decay width massive neutral gauge boson for various interaction energies and cutoff angles, is performed. The ultrarelativistic approximation has been examinedd. The last one effectively describes the cross sections of the process at energies of new generation linear colliders. The opportunity of fermions pair production as a result of electron-positron annihilation are analysed both for investigation the parameters and structure of the Standard Model of the electroweak interaction and for development of alternative non-minimal gauge models.
References
- Phinney N. ILC reference design report: accelerator executive summary. ICFA Beam Dynamics Newsletter. 2007;42:7–29.
- Ginzburg IF. [Photon colliders and the study of fundamental interactions]. In: Byalko AV, editor. Rossiiskaya nauka. Vystoyat’ i vozrodit’sya [Russian science. Survive and be reborn]. Moscow: Nauka; 1997. p. 77–87. Russian.
- Baer H, Barklow T, Fujii K, Gao Y, Hoang A, Kanemura S, et al., editors. The International Linear Collider technical design report. Volume 2. Physics [Internet]. [S. l.]: [s. n.]; 2013 [cited 2016 January 15]. 189 p. Available from: https://www.linearcollider.org/ILC/Publications/Technical-Design-Report.
- Peskin ME, Schroeder DV. An introduction to quantum field theory. Reading: Addison-Wesley Publishing Company; 1995. 842 p. Russian edition: Peskin ME, Schroeder DV. Vvedenie v kvantovuyu teoriyu polya. Berkov AV, translator; Belavin AA, editor. Izhevsk: Regulyarnaya i khaoticheskaya dinamika; 2001. 784 p.
- Shishkina TV. Processes of lepton and boson birth in linear photon collider. In: Barkovsky LM, Feranchuk ID, Shnir YaM, editors. Etudes on theoretical physics. Collection of works dedicated to 65th anniversary of the department of theoretical physics of Belarusian State University. Singapore: World Scientific Publishing Company; 2004. p. 213–230.
- Makarenko V, Mönig K, Shishkina T. Measuring the luminosity of a γ γ collider with γ γ → l + l – γ events. The European Physical Journal C. Particles and Fields. 2004;32(supplement 1):s143– s150. DOI: 10.1140/epjcd/s2003-01-011-7.
- Passarino G, Veltman M. One-loop corrections for e+e− annihilation into µ+µ− in the Weinberg model. Nuclear Physics B. 1979;160(1):151–207. DOI: 10.1016/0550-3213(79)90234-7.
- Berends FA, Kleiss R, Jadach S. Radiative corrections to muon pair and quark pair production in electron positron collisions in the Z0 region. Nuclear Physics B. 1982;202(1):63–88. DOI: 10.1016/0550-3213(82)90221-8.
- Banerjee S, Pietrzyk B, Roney JM, Was Z. Tau and muon pair production cross sections in electron-positron annihilations at s = 10.58 GeV. Physical Review D. 2008;77(5):054012. DOI: 10.1103/PhysRevD.77.054012.
- Bardin DYu, Shumeiko NM. On an exact calculation of the lowest-order electromagnetic correction to the point particle elastic scattering. Nuclear Physics B. 1977;127(2):242–258. DOI: 10.1016/0550-3213(77)90213-9.
- Kuchto TV, Shumeiko NM. Radiative effects in deep inelastic scattering of polarized leptons by polarized nucleons. Nuclear Physics B. 1983;219(2):412–436. DOI: 10.1016/0550-3213(83)90650-8.
- Shishkina TV, Shumeiko NM. Fizika elementarnykh chastits [Physics of elementary particles]. Minsk: Belarusian State University; 2002. 112 p. Russian.
- Shershan IA, Shishkina TV. Single gauge boson production in e γ-interaction as a modern tool for Standard Model test. Nonlinear Phenomena in Complex Systems. 2018;21(2):199–205.
- Shershan IA, Shishkina TV. Gauge boson production in high energy electron-photon collisions as a modern tool of searching effects beyond the Standard Model. Nonlinear Phenomena in Complex Systems. 2019;22(1):98-103.
- Shershan IA, Shishkina TV. Single gauge boson production in electron-photon collisions in the set of Standard Model extensions. In: Kuvshinov VI, Shaparau VA, editors. Nonlinear dynamics and applications. Volume 25. Proceedings of the Twenty-six anniversary seminar NPCS’2019; 2019 May 21–24; Minsk, Belarus. Minsk: Pravo i ekonomika; 2019. p. 225–230.
- Ginzburg IF, Kotkin GL, Panfil SL, Serbo VG, Telnov VI. Colliding γ e and γ γ beams based on single-pass e+e− accelerators II. Polarization effects, monochromatization improvement. Nuclear Instruments and Methods in Physics Research. 1984;219(1):5–24. DOI: 10.1016/0167-5087(84)90128-5.
Downloads
Additional Files
Published
Issue
Section
License
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)












