Skip to main content
SpringerLink
Log in

NNLO Electroweak corrections for polarized Møller scattering: One-loop insertions to boxes

  • Physics of elementary particles and atomic nuclei. Theory
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

The paper discusses the two-loop (NNLO) electroweak radiative corrections to the parity-violat-ing Møller scattering asymmetry induced by insertions to boxes of electron and neutrino mass operators (fer-mion self-energies), vertex functions and boson self-energies. The results will be relevant to the ultra-precise 11 GeV MOLLER experiment planned at the Jefferson Laboratory, which will measure the weak charge of the electron and search for new physics. The numerical estimations for the NNLO contribution to the cross section asymmetry are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  1. C. Møller, “Zur Theorie des Durchgangs schneller Elektronen durch Materie,” Ann. Phys. 406, 531 (1932).

    Article  Google Scholar 

  2. M. Swartz et al., “Observation of target electron momentum effects in single arm Moller polarimetry,” Nucl. Instrum. Methods Phys. Res. A 363, 526 (1995).

    Article  ADS  Google Scholar 

  3. P. Steiner, A. Feltham, I. Sick, M. Zeier, and B. Zihlmann, “A high-rate coincidence Moller polarimeter,” Nucl. Instrum. Methods Phys. Res. A 419, 105 (1998).

    Article  ADS  Google Scholar 

  4. H. Band, G. Mitchell, R. Prepost, and T. Wright, “A Moller polarimeter for high-energy electron beams,” Nucl. Instrum. Methods Phys. Res. A 400, 24 (1997).

    Article  ADS  Google Scholar 

  5. M. Hauger, A. Honegger, J. Jourdan, G. Kubon, T. Petitjean, D. Rohe, I. Sick, G. Warren, H. Woehrle, J. Zhao, R. Ent, J. Mitchell, D. Crabb, A. Tobias, M. Zeier, and B. Zihlmann, “A high precision polarimeter,” Nucl. Instrum. Methods Phys. Res. A 462, 382 (2001).

    Article  ADS  Google Scholar 

  6. J. Arrington, E. J. Beise, B. W. Filippone, T. G. O’Neill, W. R. Dodge, G. W. Dodson, K. A. Dow, and J. D. Zumbro, “A variable energy Moller polarimeter at the MIT bates linear accelerator center,” Nucl. Instrum. Methods Phys. Res. A 311, 39 (1992).

    Article  ADS  Google Scholar 

  7. G. Alexander and I. Cohen, “Moller scattering polarimetry for high-energy e + e – linear colliders,” Nucl. Instrum. Methods Phys. Res. A 486, 552 (2002).

    Article  ADS  Google Scholar 

  8. E. Derman and W. J. Marciano, “Parity violating asymmetries in polarized electron scattering,” Ann. Phys. (N.Y.) 121, 147 (1979).

    Article  ADS  Google Scholar 

  9. K. S. Kumar, E. Hughes, R. Holmes, and P. Souder, “Precision low-energy weak neutral current experiments,” Mod. Phys. Lett. A 10, 2979 (1995).

    Article  ADS  Google Scholar 

  10. K. Kumar, “The E158 experiment,” Eur. Phys. J. A 32, 531 (2007).

    Article  ADS  Google Scholar 

  11. P. Anthony et al. (SLAC E158 Collab.), “Observation of parity nonconservation in Moller scattering,” Phys. Rev. Lett. 92, 181602 (2004).

    Article  ADS  Google Scholar 

  12. P. Anthony et al. (SLAC E158 Collab.), “Precision measurement of the weak mixing angle in Moller scattering,” Phys. Rev. Lett. 95, 081601 (2005).

    Article  ADS  Google Scholar 

  13. D. Androic et al. (Qweak Collab.), “First determination of the weak charge of the proton,” Phys. Rev. Lett. 111, 141803 (2013).

    Article  ADS  Google Scholar 

  14. W. T. H. van Oers (MOLLER Collab.), “The MOLLER experiment at Jefferson Lab: search for physics beyond the standard model,” AIP Conf. Proc. 1261, 179 (2010).

    Article  Google Scholar 

  15. J. Benesch et al., http://hallaweb.jlab.org/12GeV/Moller/ downloads/DOE_ Proposal/DOE_ Moller.pdf (2011).

  16. K. S. Kumar, “Parity-violating Moeller scattering,” AIP Conf. Proc. 1182, 660 (2009).

    Article  ADS  Google Scholar 

  17. J. Benesch et al. (MOLLER Collab.), “The MOLLER experiment: an ultra-precise measurement of the weak mixing angle using Møller scattering: arXiv:1411.4088.

  18. A. G. Aleksejevs, S. G. Barkanova, A. N. Ilyichev, and V. A. Zykunov, “Electroweak radiative corrections for polarized Moller scattering at future 11 GeV JLab experiment,” Phys. Rev. D: Part. Fields 82, 093013 (2010).

    Article  ADS  Google Scholar 

  19. A. G. Aleksejevs, S. G. Barkanova, and V. A. Zykunov, “Precise calculations of observables of polarized Moller scattering: from JLAB to ILC energies,” Phys. At. Nucl. 75, 209 (2012).

    Article  Google Scholar 

  20. A. G. Aleksejevs, S. G. Barkanova, A. N. Ilyichev, Yu. G. Kolomensky, and V. A. Zykunov, “One-loop electroweak corrections for polarized Moller scattering at different renormalization schemes and conditions,” arXiv:1010.4185.

  21. A. Czarnecki and W. J. Marciano, “Electroweak radiative corrections to polarized Moller scattering asymmetries,” Phys. Rev. D: Part. Fields 53, 1066 (1996).

    Article  ADS  Google Scholar 

  22. F. J. Petriello, “Radiative corrections to fixed target Moller scattering including hard bremsstrahlung effects,” Phys. Rev. D: Part. Fields 67, 033006 (2003).

    Article  ADS  Google Scholar 

  23. A. G. Aleksejevs, S. G. Barkanova, Yu. G. Kolomensky, E. A. Kuraev, and V. A. Zykunov, “Quadratic electroweak corrections for polarized Moller scattering,” Phys. Rev. D: Part. Fields 85, 013007 (2012).

    Article  ADS  Google Scholar 

  24. A. G. Aleksejevs, S. G. Barkanova, Yu. M. Bystritskiy, E. A. Kuraev, A. N. Ilyichev, and V. A. Zykunov, “Parity violating Moller scattering asymmetry up to the twoloop level,” arXiv:1202.0378.

  25. F. A. Berends, R. Kleiss, P. de Causmaecker, R. Gastmans, W. Troost, and T. T. Wu, “Multiple bremsstrahlung in Gauge theories at high-energies. 2. Single bremsstrahlung,” Nucl. Phys. B 206, 61 (1982).

    Article  ADS  Google Scholar 

  26. F. A. Berends, R. Kleiss, P. de Causmaecker, R. Gastmans, and T. T. Wu, “Single bremsstrahlung processes in Gauge theories,” Phys. Lett. B 103, 124 (1981).

    Article  ADS  Google Scholar 

  27. A. I. Ahmadov, Yu. M. Bystritskiy, E. A. Kuraev, A. N. Ilyichev, and V. A. Zykunov, “One-loop chiral amplitudes of Moller scattering process,” Eur. Phys. J. C 72, 1977 (2012).

    Article  ADS  Google Scholar 

  28. D. R. Yennie, S. C. Frautschi, and H. Suura, “The infrared divergence phenomena and high-energy processes,” Ann. Phys. (N.Y.) 13, 379 (1961).

    Article  ADS  Google Scholar 

  29. C. Amsler et al. (Particle Data Group Collab.), Phys. Lett. B 667, 1 (2008).

    Article  ADS  Google Scholar 

  30. F. Jegerlehner, “Hadronic contributions to the photon vacuum polarization and their role in precision physics,” J. Phys. G 29, 101 (2003).

    Article  ADS  Google Scholar 

  31. R. Karplus and N. M. Kroll, “Fourth-order corrections in quantum electrodynamics and the magnetic moment of the electron,” Phys. Rev. 77, 536 (1950).

    Article  MATH  ADS  Google Scholar 

  32. A. I. Akhiezer and V. B. Berestetskij, Quantum Electrodynamics (Nauka, Moscow, 1981; Wiley, New York, 1965).

    Google Scholar 

  33. A. G. Aleksejevs, S. G. Barkanova, Yu. M. Bystritskiy, A. N. Ilyichev, E. A. Kuraev, and V. A. Zykunov, “Double-box contributions to Moeller scattering in the standard model,” Eur. Phys. J. C 72, 2249 (2012).

    Article  ADS  Google Scholar 

  34. T.-P. Cheng and L.-F. Li, Gauge Theory of Elementary Particle Physics (Oxford Univ. Press, USA, 1988).

    Google Scholar 

  35. A. Denner, “Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200,” Fortschr. Phys. 41, 307 (1993).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Memorial University of Newfoundland, Corner Brook, Canada

    A. G. Aleksejevs

  2. Acadia University, Wolfville, Canada

    S. G. Barkanova

  3. Joint Institute for Nuclear Research, Dubna, Moscow oblast, Russia

    Yu. M. Bystritskiy & E. A. Kuraev

  4. Belarusian State University of Transport, Gomel, Belarus

    V. A. Zykunov

Authors
  1. A. G. Aleksejevs
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. G. Barkanova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. M. Bystritskiy
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. E. A. Kuraev
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. V. A. Zykunov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu. M. Bystritskiy.

Additional information

The article is published in the original.

Deceased.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Aleksejevs, A.G., Barkanova, S.G., Bystritskiy, Y.M. et al. NNLO Electroweak corrections for polarized Møller scattering: One-loop insertions to boxes. Phys. Part. Nuclei Lett. 12, 645–656 (2015). https://doi.org/10.1134/S1547477115050039

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477115050039

Keywords

Search

Navigation