×
Kniehl, Bernd A.; Pikelner, Andrey F.; Veretin, Oleg L.

Two-loop electroweak threshold corrections in the Standard Model. (English) Zbl 1331.81372

Nucl. Phys., B 896, 19-51 (2015).
Summary: We study the relationships between the basic parameters of the on-shell renormalization scheme and their counterparts in the \(\overline{\mathrm{MS}}\) scheme at full order \(\mathcal{O}(\alpha^2)\) in the Standard Model. These enter as threshold corrections the renormalization group analyses underlying, e.g., the investigation of the vacuum stability. To ensure the gauge invariance of the parameters, in particular of the \(\overline{\mathrm{MS}}\) masses, we work in \(R_{\xi}\) gauge and systematically include tadpole contributions. We also consider the gaugeless-limit approximation and compare it with the full two-loop electroweak calculation.

Cited in 5 Documents

MSC:

81V22 Unified quantum theories
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81T17 Renormalization group methods applied to problems in quantum field theory
81T18 Feynman diagrams

Software:

TSIL
PDF BibTeX XML Cite
\textit{B. A. Kniehl} et al., Nucl. Phys., B 896, 19--51 (2015; Zbl 1331.81372)
Full Text: DOI arXiv

References:

[1] Chatrchyan, S., Phys. Lett. B, 716, 30 (2012)
[2] Luo, M.; Xiao, Y., Phys. Rev. Lett., 90, 011601 (2003)
[3] Bednyakov, A. V.; Pikelner, A. F.; Velizhanin, V. N., Nucl. Phys. B, 875, 552 (2013)
[4] Jegerlehner, F.; Kalmykov, M. Yu.; Veretin, O., Nucl. Phys. B, 641, 285 (2002)
[5] Jegerlehner, F.; Kalmykov, M. Yu.; Veretin, O., Nucl. Phys. B, 658, 49 (2003)
[6] Tarrach, R., Nucl. Phys. B, 183, 384 (1981)
[7] Gray, N.; Broadhurst, D. J.; Grafe, W.; Schilcher, K., Z. Phys. C, 48, 673 (1990)
[8] Fleischer, J.; Jegerlehner, F.; Tarasov, O. V.; Veretin, O. L., Nucl. Phys. B, 571, 511 (2000), Erratum
[9] Melnikov, K.; van Ritbergen, T., Phys. Lett. B, 482, 99 (2000)
[10] Marquard, P.; Smirnov, A. V.; Smirnov, V. A.; Steinhauser, M., Phys. Rev. Lett., 114, 142002 (2015)
[11] Bednyakov, A.; Onishchenko, A.; Velizhanin, V.; Veretin, O., Eur. Phys. J. C, 29, 87 (2003)
[12] Hempfling, R.; Kniehl, B. A., Phys. Rev. D, 51, 1386 (1995)
[13] Kniehl, B. A.; Piclum, J. H.; Steinhauser, M., Nucl. Phys. B, 695, 199 (2004)
[14] Jegerlehner, F.; Kalmykov, M. Yu., Nucl. Phys. B, 676, 365 (2004)
[15] Jegerlehner, F.; Kalmykov, M. Yu.; Kniehl, B. A., Phys. Lett. B, 722, 123 (2013)
[16] Bezrukov, F.; Kalmykov, M. Yu.; Kniehl, B. A.; Shaposhnikov, M., J. High Energy Phys., 1210, 140 (2012)
[17] Kniehl, B. A.; Veretin, O. L., Nucl. Phys. B, 894, 56 (2015), Erratum
[18] Sirlin, A.; Zucchini, R., Nucl. Phys. B, 266, 389 (1986)
[19] Degrassi, G.; Di Vita, S.; Elias-Miró, J.; Espinosa, J. R.; Giudice, G. F.; Isidori, G.; Strumia, A., J. High Energy Phys., 1208, 098 (2012)
[20] Buttazzo, D.; Degrassi, G.; Giardino, P. P.; Giudice, G. F.; Sala, F.; Salvio, A.; Strumia, A., J. High Energy Phys., 1312, 089 (2013)
[21] Martin, S. P.; Robertson, D. G., Phys. Rev. D, 90, 073010 (2014)
[22] Martin, S. P., Phys. Rev. D, 89, 013003 (2014)
[23] Sirlin, A., Phys. Rev. D, 22, 971 (1980)
[24] Malde, P.; Stuart, R. G., Nucl. Phys. B, 552, 41 (1999)
[25] Awramik, M.; Czakon, M.; Onishchenko, A.; Veretin, O., Phys. Rev. D, 68, 053004 (2003)
[26] Onishchenko, A.; Veretin, O., Phys. Lett. B, 551, 111 (2003)
[27] Actis, S.; Passarino, G., Nucl. Phys. B, 777, 100 (2007)
[28] Fleischer, J.; Jegerlehner, F., Phys. Rev. D, 23, 2001 (1981)
[29] Kniehl, B. A., Phys. Rev. D, 89, 116010 (2014)
[30] Jegerlehner, F.; Kalmykov, M. Yu.; Veretin, O., Nucl. Phys. B, Proc. Suppl., 116, 382 (2003)
[31] Degrassi, G.; Fanchiotti, S.; Sirlin, A., Nucl. Phys. B, 351, 49 (1991)
[32] Fanchiotti, S.; Kniehl, B. A.; Sirlin, A., Phys. Rev. D, 48, 307 (1993)
[33] Sturm, C., Nucl. Phys. B, 874, 698 (2013)
[34] Erler, J., Phys. Rev. D, 59, 054008 (1999)
[35] Olive, K. A., Chin. Phys. C, 38, 090001 (2014)
[36] Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H.; Sturm, C., Nucl. Phys. B, 867, 182 (2013)
[37] Kniehl, B. A.; Kotikov, A. V.; Onishchenko, A. I.; Veretin, O. L., Phys. Rev. Lett., 97, 042001 (2006)
[39] Martin, S. P.; Robertson, D. G., Comput. Phys. Commun., 174, 133 (2006)
[40] Tarasov, O. V., Phys. Rev. D, 54, 6479 (1996)
[41] Tarasov, O. V., Nucl. Phys. B, 502, 455 (1997)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.