vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-2430-2021-57-1-33-45vestifm-566Research ArticleФИЗИКАPHYSICSАномальные константы трехбозонных вершин в процессе парного рождения W±-бозонов на CMS LHCAnomalous constants of three-boson vertices in the process of pair production of W± -bosons in proton collisions at CMS LHChttps://orcid.org/0000-0003-3314-7175АндреевВ. В.AndreevV. V.

Андреев Виктор Васильевич – доктор физико-математических наук, доцент

ул. Советская, 104, 246019, г. Гомель

Viktor V. Andreev – Dr. Sc. (Physics and Mathematics), Assistant Professor

Sovetskaya Str., 104, 246019, Gomel

vik.andreev@gsu.byГомельский государственный университет им. Ф. СкориныFrancisk Skorina Gomel State University2021310320215713345Copyright © Андреев В.В., 20212021Андреев В.В.Andreev V.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/566

 Получены ожидаемые ограничения на аномальные CP-четные константы трехбозонных взаимодействий на основе сечения парного рождения W±-бозонов в протон-протонных столкновениях. Ограничения получены при светимости и кинематических ограничениях на конечные состояния характерных для эксперимента CMS на Большом адронном коллайдере при √s=13 ТэВ. Рассчитаны одно- и двумерные области ограничений аномальных параметров трехбозонных взаимодействий. При вычислениях сечения обычные приближения малости масс кварков и значений элементов CKM-матрицы не использовались. Установлено, что ожидаемые значения аномальных констант практически на порядок меньше, чем ограничения, найденные на коллайдере LEP при √s= 200 ГэВ в реакции e–e+ → W–W+. 

In this paper, we obtained the expected constraints on the anomalous CP-even constants of three-boson interactions on the basis of cross-section for the pair production of W+ -bosons in proton-proton collisions. The constraints were obtained for luminosity and the kinematic constraints on the final states typical for the CMS experiment at the Large Hadron Collider at √s=13 TeV. One-dimensional and two-dimensional regions of constraints for the anomalous parameters of three-boson interactions were calculated. When calculating the cross-section, the usual approximations of small quark masses and values of the CKM matrix elements were not used. The expected values of the anomalous constants are almost an order of magnitude less than the constraints found at the LEP collider at √s= 200 GeV in the reaction e–e+ → W–W+.

диаграмма Фейнманасечениеадронтрехбозонные взаимодействияаномальные константыFeynman diagramcross-sectionhadronthree-boson interactionanomalous constantReferencesShmatov, S. V. Highlights of Searches for Physics Beyond the Standard Model from the CMS Experiment at the LHC / S.V. Shmatov// Phys. Part. Nucl. – 2018. – Vol. 49, № 4. – P. 735–740. https://doi.org/10.1134/s1063779618040512Shmatov S. V. Highlights of Searches for Physics Beyond the Standard Model from the CMS Experiment at the LHC. Physics of Particles and Nucle, 2018, vol. 49, no. 4, pp. 735–740. https://doi.org/10.1134/s1063779618040512Low-energy constraints on electroweak three gauge boson coupling s / K. Hagiwara [et al.] // Phys. Lett. – 1992. – Vol. 283, № 3/4. – P. 353–359. https://doi.org/10.1016/0370-2693(92)90031-xHagiwara K., Ishihara S., Szalapski R., Zeppenfeld D. Low-energy constraints on electroweak three gauge boson couplings. Physics Letters B, 1992, vol. 283, no. 3–4, pp. 353–359. https://doi.org/10.1016/0370-2693(92)90031-xStudy of W boson polarisations and Triple Gauge boson Couplings in the reaction e+e–→W+W– at LEP 2 / J. Abdallah [et. al.] // Eur. Phys. J. C. – 2008. – Vol. 54, № 3. – P. 345–364.Abdallah J., DELPHI Collaboration [et. al.]. Study of W boson polarisations and Triple Gauge boson Couplings in the reaction e+e–→W+W– at LEP 2. The European Physical Journal C, 2008, vol. 54, no. 3, pp. 345–364. https://doi.org/10.1140/ epjc/s10052-008-0528-3Effective Field Theory: A Modern Approach to Anomalous Couplings / C. Degrande [et. al.] // Ann. Phys. – 2013. – Vol. 335. – P. 21–32. https://doi.org/10.1016/j.aop.2013.04.016Degrande C., Greiner N., Kilian W., Mattelaer O., Mebane H., Stelzer T., Willenbrock S., Zhang C. Effective Field Theory: A Modern Approach to Anomalous Couplings. Annals of Physics, 2013, vol. 335, pp. 21–32. https://doi.org/10.1016/j. aop.2013.04.016Buchmuller, W. Effective Lagrangian analysis of new interactions and flavor conservation / W. Buchmuller, D. Wyler // Nucl. Phys. B. – 1986. – Vol. 268, № 3/4. – P. 621–653. https://doi.org/10.1016/0550-3213(86)90262-2Buchmuller W., Wyler D. Effective Lagrangian analysis of new interactions and flavor conservation. Nuclear Physics B, 1986, vol. 268, no. 3–4, pp. 621–653. https://doi.org/10.1016/0550-3213(86)90262-2Gilevsky, V. V. On multiboson interactions in 1/Λ2 order / V. V. Gilevsky, I. S. Satsunkevich // Phys. Lett. B. – 1995. – Vol. 358, № 1/2. – P. 95–100. https://doi.org/10.1016/0370-2693(95)00943-fGilevsky V. V., Satsunkevich I. S. On multiboson interactions in 1/Λ2 order. Physics Letters B, 1995, vol. 358, no. 1–2, pp. 95–100. https://doi.org/10.1016/0370-2693(95)00943-fChiesa, M. Anomalous triple-gauge-boson interactions in vector-boson pair production with RECOLA2 / M. Chiesa, A. Denner, J.-N. Lang // Eur. Phys. J. C. – 2018. – Vol. 78, № 6. – P. 467. https://doi.org/10.1140/epjc/s10052-018-5949-zChiesa M., Denner A., Lang J.-N. Anomalous triple-gauge-boson interactions in vector-boson pair production with RECOLA2. The European Physical Journal C, 2018, vol. 78, no. 6, pp. 467. https://doi.org/10.1140/epjc/s10052-018-5949-zProbing the Weak Boson Sector in e+e–→W+W– / K. Hagiwara [et al.] // Nucl. Phys. B. – 1987. – Vol. 282. – P. 253–298. https://doi.org/10.1016/0550-3213(87)90685-7Hagiwara K., Peccei R. D., Zeppenfeld D., Hikasa K. Probing the Weak Boson Sector in e+e–→W+W–. Nuclear Physics B, 1987, vol. 282, pp. 253–298. https://doi.org/10.1016/0550-3213(87)90685-7Siehl, K. Search for Anomalous Trilinear Couplings of Electroweak Gauge Bosons Using Angular Variables at =13s TeV at CMS: thesis/dissertation / K. Siehl. – 2020. – 86 p. https://doi.org/10.2172/1606212Siehl K. Search for Anomalous Trilinear Couplings of Electroweak Gauge Bosons Using Angular Variables at s = 13 TeV at CMS: thesis/dissertation. 2020. 86 p. https://doi.org/10.2172/1606212Super Collider Physics / E. Eichten [et al.] // Rev. Mod. Phys. – 1984. – Vol. 56, № 4. – P. 579–707. https://doi. org/10.1103/revmodphys.56.579Eichten E., Hinchliffe I., Lane K. D., Quigg C. Super Collider Physics. Reviews of Modern Physics, 1984, vol. 56, no. 4, pp. 579–707. https://doi.org/10.1103/revmodphys.56.579Gounaris, G. J. Vector boson pair production at supercolliders / G. J. Gounaris, J. Layssac, F. Renard // Zeitschrift für Physik C Particles and Fields. – 1994. – Vol. 62, № 1. – P. 139–149. https://doi.org/10.1007/bf01559533GounarisG. J., Layssac J., Renard F. Vector boson pair production at supercolliders. Zeitschrift für Physik C Particles and Fields, 1994, vol. 62, no. 1, pp. 139–149. https://doi.org/10.1007/bf01559533Nuss, E. Di-Boson production at hadron colliders with general triple gauge boson couplings. Analytic expressions of helicity amplitudes and cross-sections / E. Nuss // Z. Phys. C. – 1997. – Vol. 76c 4. – P. 701–719. https://doi.org/10.1007/ s002880050592Nuss E. Di-Boson production at hadron colliders with general triple gauge boson couplings. Analytic expressions of helicity amplitudes and cross-sections. Zeitschrift für Physik C Particles and Fields, 1997, vol. 76, no. 4, pp. 701–719. https:// doi.org/10.1007/s002880050592Parton distributions incorporating QED contributions / A. D. Martin [et al.] // Eur. Phys. J. C. – 2005. – Vol. 39, № 2. – P. 155–161. https://doi.org/10.1140/epjc/s2004-02088-7Martin A. D., Roberts R. G., Stirling W. J., Thorne R. S. Parton distributions incorporating QED contributions. The European Physical Journal C, 2005, vol. 39, no. 2, pp. 155–161. https://doi.org/10.1140/epjc/s2004-02088-7Parton distributions with QED corrections / R. D. Ball [et. al.] // Nucl. Phys. B. – 2013. – Vol. 877, № 2. – P. 290–320. https://doi.org/10.1016/j.nuclphysb.2013.10.010Ball R. D., Bertone V., Carrazza S., Del Debbio L., Forte S., Guffanti A., Hartland N. P., Rojo J. Parton distributions with QED corrections. Nuclear Physics B, 2013, vol. 877, no. 2, pp. 290–320. https://doi.org/10.1016/j.nuclphysb.2013.10.010Electroweak corrections to W-boson pair production at the LHC / A. Bierweiler [et al.] // J. High Energy Phys. – 2012. – Vol. 2012, no. 11, – P. 093. https://doi.org/10.1007/jhep11(2012)093Bierweiler A., Kasprzik T., Kühn J. H., Uccirati S. Electroweak corrections to W-boson pair production at the LHC. Journal of High Energy Physics, 2012, vol. 2012, no. 11, pp. 093. https://doi.org/10.1007/jhep11(2012)093Klasen, M. Perspectives for inclusive quarkonium production in photon-photon collisions at the LHC / M. Klasen, J. Lansberg // Nucl. Phys. B. – Proc. Supplements. – 2008. – Vol. 179/180. – P. 226–231. https://doi.org/10.1016/j. nuclphysbps.2008.07.028Klasen M., Lansberg J. Perspectives for inclusive quarkonium production in photon-photon collisions at the LHC. Nuclear Physics B – Proceedings Supplements, 2008, vol. 179–180, pp. 226–231. https://doi.org/10.1016/j. nuclphysbps.2008.07.028Andreev, V. V. Analytic Calculation of Feynman Amplitudes / V. V. Andreev // Phys. At. Nucl. – 2003. – Vol. 66, № 2. – P. 383–393. https://doi.org/10.1134/1.1553511Andreev V. V. Analytic Calculation of Feynman Amplitudes. Physics of Atomic Nuclei, 2003, vol. 66, no. 2, pp. 383– 393.https://doi.org/10.1134/1.1553511Андреев, В. В. Вычисление фейнмановских диаграмм техникой блоков / В. В. Андреев // Проблемы физики, математики и техники. – 2014. – № 2 (19). – С. 7–12.Andreev V. V. Calculation of Feynman diagrams using the blocks technique. Problemy Fiziki, Matematiki i Tekhniki = Problems of Physics, Mathematics and Technics, 2014, no. 2 (19), pp. 7–12 (in Russian).Review of Particle Physics / P. D. Group: P. A. Zyla [et. al.] // Prog. Theor. Exp. Phys. – 2020. – Vol. 2020, № 8. – 083C01. https://doi.org/10.1093/ptep/ptaa104P. D. Group: P. A. Zyla [et. al.] Review of Particle Physics. Progress of Theoretical and Experimental Physics, 2020, vol. 2020, no. 8, pp 083C01. https://doi.org/https://doi.org/10.1093/ptep/ptaa104Search for anomalous triple gauge couplings in WW and WZ production in lepton + jet events in proton-proton collisions at =13 s TeV / A. M. Sirunyan [et al.] // J. High Energy Phys. – 2019. – Vol. 12. – P. 062. https://doi.org/10.1007/ JHEP12(2019)062Sirunyan A. M., CMS collaboration [et al.]. Search for anomalous triple gauge couplings in WW and WZ production in lepton + jet events in proton-proton collisions at =13 s TeV. Journal of High Energy Physics, 2019, vol. 12, pp. 062. https://doi.org/10.1007/JHEP12(2019)062Measurement of fiducial and differential W+W– production cross-sections at =13 s TeV with the ATLAS detector / M. Aaboud [et. al.] // Eur. Phys. J. C. – 2019. – Vol. 79, № 10. – P. 884. https://doi.org/10.1140/epjc/s10052-019-7371-6Aaboud M. [et. al.], ATLAS collaboration. Measurement of fiducial and differential W+W– production cross-sections at =13 s TeV with the ATLAS detector. The European Physical Journal C, 2019, vol. 79, no. 10, pp. 884. https://doi. org/10.1140/epjc/s10052-019-7371-6W+W– boson pair production in proton-proton collisions at =13 s TeV / A. M. Sirunyan [et. al.] // Phys. Rev. D. – 2020. – Vol. 102, № 9. – P. 092001. https://doi.org/10.1103/PhysRevD.102.092001Sirunyan A. M. [et. al.]. W+W– boson pair production in proton-proton collisions at =13 s TeV. Physical Review D, 2020, vol. 102, no. 9, pp. 092001. https://doi.org/10.1103/PhysRevD.102.092001Eboli, O. Present Bounds on New Neutral Vector Resonances from Electroweak Gauge Boson Pair Production at the LHC / O. Eboli, J. Gonzalez-Fraile, M. Gonzalez-Garcia // Phys.Rev. D. – 2012. – Vol. 85, № 5. – P. 055019. https://doi. org/10.1103/PhysRevD.85.055019Eboli O., Gonzalez-Fraile J., Gonzalez-Garcia M. Present Bounds on New Neutral Vector Resonances from Electroweak Gauge Boson Pair Production at the LHC. Physical Review D, 2012, vol. 85, no. 5, pp. 055019. https://doi. org/10.1103/PhysRevD.85.055019Denner, A. The complex-mass scheme for perturbative calculations with unstable particles / A. Denner, S. Dittmaier // Nucl. Phys. Proc. Suppl. – 2006. – Vol. 160. – P. 22–26. https://doi.org/10.1016/j.nuclphysbps.2006.09.025Denner A., Dittmaier S. The complex-mass scheme for perturbative calculations with unstable particles. Nuclear Physics B - Proceedings Supplements, 2006, vol. 160, pp. 22–26. https://doi.org/10.1016/j.nuclphysbps.2006.09.025CT10 next-to-next-to-leading order global analysis of QCD / J. Gao [et. al.] // Phys. Rev. D.– 2014. – Vol. 89, № 3. – P. 033009. https://doi.org/10.1103/physrevd.89.033009Gao J., Guzzi M., Huston J., Hung-Liang Lai, Zhao Li, Nadolsky P., Pumplin J., Stump D., Yuan C.-P. CT10 nextto-next-to-leading order global analysis of QCD. Physical Review D, 2014, vol. 89, no. 3. pp. 033009. https://doi.org/10.1103/ physrevd.89.033009Revisiting the large extra dimension effects on W-pair production at the LHC in next-to-leading order QCD / Y.-M. Bai [et. al.] // Phys. Rev. D. – 2012. – Vol. 85, № 1. – P. 016008. https://doi.org/10.1103/physrevd.85.016008Yu-Ming Bai, Lei Guo, Xiao-Zhou Li, Wen-Gan Ma, Ren-You Zhang. Revisiting the large extra dimension effects on W-pair production at the LHC in next-to-leading order QCD. Physical Review D, 2012, vol. 85, no. 1, pp. 016008. https://doi. org/10.1103/physrevd.85.016008Measurement of triple gauge boson couplings of the W boson at LEP / P. Achard [et. al.] // Phys. Lett. B. – 2004. – Vol. 586, № 3/4. – P. 151–166. https://doi.org/10.1016/j.physletb.2004.02.045Achard P. [et. al.]. Measurement of triple gauge boson couplings of the W boson at LEP. Physics Letters B, 2004, vol. 586, no. 3–4, pp. 151–166. https://doi.org/10.1016/j.physletb.2004.02.045Measurements of CP-conserving Trilinear Gauge Boson Couplings WWV (V = gamma,Z) in e+e- Collisions at LEP2 / J. Abdallah [et. al.] // Eur. Phys. J. C. – 2010. – Vol. 66, № 1/2. – P. 35–56. https://doi.org/10.1140/epjc/s10052-010-1254-1Abdallah J., DELPHI Collaboration [et. al.]. Measurements of CP-conserving Trilinear Gauge Boson Couplings WWV (V = gamma,Z) in e+e- Collisions at LEP2. The European Physical Journal C, 2010, vol. 66, no. 1–2, pp. 35–56. https:// doi.org/10.1140/epjc/s10052-010-1254-1

The authors declare that there are no conflicts of interest present.