Le Nhu Thuc, Dao Thi Le Thuy, Nguyen Quoc Hoan

Main Article Content

Abstract

: In this work, we study the production of  boson pairs from  collisions in a muon collider within the framework of the Standart Model (SM) and the Unparticle Physics (UP) model, considering polarized muon and anti-muon beams. The results show that the total cross-section (TCS) increases as the center of mass energy () increases, the TCS has the largest value when both the and  particle beams are left polarized. The contribution of scalar unparticles is substantial in the case of oppositely polarized  particle beams. For scaling dimension  the differential cross-section (DCS) reaches a large value when  and the kinetic energy of the resulting Z boson beam is greater than 4 TeV. For the case  the density of points representing DCS with large values is evenly distributed throughout the entire survey domain.


Keywords:  collisions, unparticle physics,  boson, scalar unparticles, cross-section,...


: In this work, we study the production of  boson pairs from  collisions in a muon collider within the framework of the Standart Model (SM) and the Unparticle Physics (UP) model, considering polarized muon and anti-muon beams. The results show that the total cross-section (TCS) increases as the center of mass energy () increases, the TCS has the largest value when both the and  particle beams are left polarized. The contribution of scalar unparticles is substantial in the case of oppositely polarized  particle beams. For scaling dimension  the differential cross-section (DCS) reaches a large value when  and the kinetic energy of the resulting Z boson beam is greater than 4 TeV. For the case  the density of points representing DCS with large values is evenly distributed throughout the entire survey domain.

Keywords: collisions, unparticle physics, boson, scalar unparticles, cross-section,...

References

K. Long, D. Lucchesi, M.A. Palmer et al., Muon Colliders to Expand Frontiers of Particle Physics, Nature Phys., Vol. 17, 2021, pp. 289-292, https://doi.org/10.1038/s41567-020-01130-x.
B. Pulak, D. Chinmoy, M. C. Kumar, P. Vaibhav, Threshold Resummation for Z-boson Pair Production at NNLO+NNLL, arXiv:2409.16375v1 [hep-ph] 24/9/2024.
CMS Collaboration, A.Tumasyanetal, Measurements of the Electroweak Diboson Production Cross Sections in Proton-Proton Collisions at √s=5.02TeV Using Leptonic Decays, Phys. Rev. Lett., Vol. 127, 2021, pp. 191801, https://doi.org/ 10.1103/PhysRevLett.127.191801.
ATLAS Collaboration, G. Aadetal, Measurement of the ZZ Production Cross Section and Limit so Nano Malicious Neutral Triple Gauge Couplings in Proton-Proton Collisions at √ s=7TeV With The ATLAS Detector, Phys.Rev.Lett., Vol, 108, 2012, pp. 041804, https://doi.org/ 10.1103/PhysRevLett.108.041804.
ATLAS Collaboration, G. Aad et al., Measurement of ZZ Production in pp Collisions at √ s =7 TeV and Limits on Anomalous ZZZ and ZZγ Couplings With The ATLAS Detector, JHEP. Vol. 3, 2013, pp. 128, https://doi.org/ 10.1007//JHEP03%282013%29128.
CMS Collaboration, S. Chatrchyan et al., Measurement of The ZZ Production Cross Section and Search for Anomalous Couplings in 2 l2l’ Final States in pp Collisions at √s = 7 TeV, JHEP, Vol, 1, 2013, pp. 063, https://doi.org/10.1007//JHEP01%282013%29063.
CMS Collaboration, V. Khachatryan et al., Measurements of the Z Z Production Cross Sections in the 2l2ν Channel in Proton-Proton Collisions at √s = 7 and 8 TeV And Combined Constraints on Triple Gauge Couplings, Eur. Phys. J. C., Vol, 75, 2015, pp. 511, https://doi.org/ 10.1140/epjc/s10052-015-3706-0.
CMS Collaboration, S. Chatrchyan et al., Measurement of W+W− and ZZ Production Cross Sections in pp Collisions at √s = 8TeV, Phys. Lett. B., Vol, 721, 2013, pp. 190, https://doi.org/10.1016/j.physletb.2013.03.027.
CMS Collaboration, V. Khachatryan et al., Measurement of the pp → ZZ Production Cross Section and Constraints on Anomalous Triple Gauge Couplings in Four-Lepton Final States at √s = 8 TeV, Phys. Lett. B., Vol. 740, 2015, pp. 250, https://doi.org/10.1016/j.physletb.2014.11.059.
ATLAS Collaboration, G. Aad et al., Measurements of Four-Lepton Production in pp Collisions at √s = 8 TeV with the ATLAS Detector, Phys. Lett. B. Vol, 753, 2016, pp. 552, https://doi.org/10.1016/j.physletb.2015.12.048.
ATLAS Collaboration, M. Aaboud et al., Measurement of the ZZ Production Cross Section in Proton-Proton Collisions at √s = 8 TeV Using The ZZ → ℓ−ℓ+ℓ′−ℓ′+ and ZZ → ℓ−ℓ+ν¯ ν Channels with the ATLAS Detector, JHEP, Vol. 1, 2017, pp. 099, https://doi.org/10.1007/jhep01(2017)099.
CMS Collaboration, A. M. Sirunyan et al., Measurement of Differential Cross Sections for Z Boson Pair Production in Association With Jets at √s = 8 and 13 TeV, Phys. Lett. B., Vol, 789, 2019, pp. 19, https://doi.org/10.1016/j.physletb.2018.11.007.
CMS Collaboration, V. Khachatryan et al., Measurement of The ZZ Production Cross Section and Z →ℓ+ℓ−ℓ′+ℓ′− Branching Fraction in pp Collisions at √s=13 TeV, Phys. Lett. B. Vol. 763, 2016, pp. 280, https://doi.org/10.1016/j.physletb.2017.09.030.
ATLAS Collaboration, M. Aaboud et al., ZZ → ℓ+ℓ−ℓ′+ℓ′− Cross-Section Measurements and Search for Anomalous Triple Gauge Couplings in 13 TeV pp Collisions with the ATLAS Detector, Phys. Rev. D. Vol, 97, 2018, pp. 032005, https://doi.org/10.1103/PhysRevD.97.032005.
CMS Collaboration, A. M. Sirunyan et al., Measurements of the pp → ZZ Production Cross Section and the Z → 4ℓ Branching Fraction, and Constraints on Anomalous Triple Gauge Couplings at √s = 13TeV, Eur. Phys. J. C. Vol, 78, 2018, pp. 165, https://doi.org/10.1140/epjc/s10052-018-5567-9.
ATLAS Collaboration, M. Aaboud et al., Measurement of ZZ Production in the ℓℓνν Final State with the ATLAS Detector in pp Collisions at √s = 13 TeV, JHEP. Vol, 10, 2019, pp. 127, https://doi.org/10.1007/JHEP10%282019%29127.
CMS Collaboration, A. M. Sirunyan et al., Measurements of pp → ZZ Production Cross Sections and Constraints on Anomalous Triple Gauge Couplings at √s = 13TeV, Eur. Phys. J. C. Vol, 81, 2021, pp. 200, https://doi.org/10.1140/epjc/s10052-020-08817-8.
ATLAS Collaboration, G. Aad et al., Measurement of ZZ Production Cross-Sections in the Four-Lepton Final State in pp Collisions at s=13.6 TeV with the Atlas Experiment, Phys. Lett. B. Vol, 855, 2024, pp. 138764, https://doi.org/10.1016/j.physletb.2024.138764.
L. N. Thuc, D. T. L. Thuy, The Production of Scalar Unparticle in Pair With Photon and Z Boson From μ^+ μ^- Collision in Unparticle Physics, HNUE Journal of Science, Vol. 66, No 2, 2021, pp 66-74, https://doi.org/ 10.18173/2354-1059.2021-0029.
L. M. Dung, D. T. L. Thuy, L. N. Thuc, Investigating μ^± μ^-→μ^± μ^- Collisions Under The Effect of Scalar and Vector Unparticle in Randall-Sundrum Model, Moder Physics Letters A, Vol. 39, No. 27n28, 2024, pp. 2450131, https://doi.org/10.1142/S0217732324501311.
H. Georgi, Unparticle Physics, Phys. Rev. Lett., Vol. 98, 2007, pp. 221601, https://doi.org/10.1103/physrevlett.98.221601.
T. Banks, A. Zaks, On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions, Nucl. Phys. B., Vol, 196, 1982, pp. 189-204, https://doi.org/10.1016/0550-3213(82)90035-9.
T. Kikuchi, N. Okada, Unparticle Physics and Higgs Phenomenology. Phys. Lett. B., Vol. 661, 2008,
pp. 360-364, https://doi.org/10.1016/j.physletb.2008.02.041.
V. Khachatryan, A. M. Sirunyan, A. Tumasyan, W. Adam, T. Bergauer, J. Brandstetter, E. Brondolin, M. Dragicevic et al., Search for Dark Matter and Unparticles Produced in Association With a Z Boson in Proton-Proton Collisions at √ s = 8 TeV, Phys. Rev. D., Vol, 93, 2016, pp. 052011, https://doi.org/10.1103/PhysRevD.93.052011.
V. Khachatryan, A. M. Sirunyan, A. Tumasyan, W. Adam, T. Bergauer, M. Dragicevic et al., Search for Dark Matter, Extra Dimensions, and Unparticles in Monojet Events in Proton-Proton Collisions at √ s = 8 TeV, Eur. Phys. J. C., Vol. 75, No. 5, 2015, pp. 235, https:// doi.org/10.1140/epjc/s10052-015-3451-4.
A. M. Sirunyan, A. Tumasyan, W. Adam, E. Asilar, T. Bergauer, J. Brandstetter, E. Brondolin et al., Search for Dark Matter and Unparticles in Events with a Z Boson and Missing Transverse Momentum in Proton-Proton Collisions at √ s = 13 TeV, JHEP, Vol. 3, 2017, pp. 061, https://doi.org/10.1007/JHEP03%282017%29061.