Exploring dark $$Z_d$$ Z d -boson in future large hadron-electron collider

Abstract The interaction between the dark $$U(1)_d$$ U ( 1 ) d sector with the visible Standard Model (SM) sector takes place through the kinetic mixing between the dark photon $$U(1)_d$$ U ( 1 ) d field $$Z_d^\mu $$ Z d μ and the SM $$U(1)_Y$$ U ( 1 ) Y gauge field $$B_\mu $$ B μ . After the electr...

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Main Authors: Ashok Goyal, Mukesh Kumar, Satendra Kumar, Rafiqul Rahaman
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11291-7
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author Ashok Goyal
Mukesh Kumar
Satendra Kumar
Rafiqul Rahaman
author_facet Ashok Goyal
Mukesh Kumar
Satendra Kumar
Rafiqul Rahaman
author_sort Ashok Goyal
collection DOAJ
description Abstract The interaction between the dark $$U(1)_d$$ U ( 1 ) d sector with the visible Standard Model (SM) sector takes place through the kinetic mixing between the dark photon $$U(1)_d$$ U ( 1 ) d field $$Z_d^\mu $$ Z d μ and the SM $$U(1)_Y$$ U ( 1 ) Y gauge field $$B_\mu $$ B μ . After the electroweak and $$U(1)_d$$ U ( 1 ) d symmetry breaking, the dark photon $$Z_d^\mu $$ Z d μ acquires a mass and mixes with the SM neutral vector boson $$Z_\mu $$ Z μ . This mixing leads to parity-violating coupling between the $$Z_d^\mu $$ Z d μ and SM. The coupling between the dark photon and SM can be explored in low energy phenomenology as well as in collider experiments. The Lorentz structure of dark photon interaction with SM fermions is explored in the proposed high energy future Large Hadron-electron collider, which would provide efficient energy and a clean environment using cross-section and asymmetries associated with polarisation observable of the dark photon in leptons decay. A $$\chi ^2$$ χ 2 -analysis is performed to compare the strength of various variables for both the charge- and neutral-current processes. Based on this analysis, $$90\%$$ 90 % confidence level (C.L.) contours in the $$\varepsilon $$ ε - $$m_{Z_d}$$ m Z d and $$\varepsilon $$ ε - $$g_V$$ g V plane are obtained to put limits on the $$Z_d^\mu $$ Z d μ mass up to 100 GeV, coupling strength $$\varepsilon $$ ε and on the Lorentz structure of dark photon coupling with the SM fermions ( $$g_V$$ g V ) at $$\sqrt{s} \approx 1.3$$ s ≈ 1.3  TeV.
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spelling doaj.art-690335771038433f8ecdfefc9a8704fd2023-04-03T05:37:57ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-02-018321910.1140/epjc/s10052-023-11291-7Exploring dark $$Z_d$$ Z d -boson in future large hadron-electron colliderAshok Goyal0Mukesh Kumar1Satendra Kumar2Rafiqul Rahaman3Department of Physics, University of DelhiSchool of Physics and Institute for Collider Particle Physics, University of the Witwatersrand, WitsSchool of Basic Sciences, Indian Institute of Information Technology UnaRegional Centre for Accelerator-based Particle Physics, Harish-Chandra Research Institute, A CI of Homi Bhabha National InstituteAbstract The interaction between the dark $$U(1)_d$$ U ( 1 ) d sector with the visible Standard Model (SM) sector takes place through the kinetic mixing between the dark photon $$U(1)_d$$ U ( 1 ) d field $$Z_d^\mu $$ Z d μ and the SM $$U(1)_Y$$ U ( 1 ) Y gauge field $$B_\mu $$ B μ . After the electroweak and $$U(1)_d$$ U ( 1 ) d symmetry breaking, the dark photon $$Z_d^\mu $$ Z d μ acquires a mass and mixes with the SM neutral vector boson $$Z_\mu $$ Z μ . This mixing leads to parity-violating coupling between the $$Z_d^\mu $$ Z d μ and SM. The coupling between the dark photon and SM can be explored in low energy phenomenology as well as in collider experiments. The Lorentz structure of dark photon interaction with SM fermions is explored in the proposed high energy future Large Hadron-electron collider, which would provide efficient energy and a clean environment using cross-section and asymmetries associated with polarisation observable of the dark photon in leptons decay. A $$\chi ^2$$ χ 2 -analysis is performed to compare the strength of various variables for both the charge- and neutral-current processes. Based on this analysis, $$90\%$$ 90 % confidence level (C.L.) contours in the $$\varepsilon $$ ε - $$m_{Z_d}$$ m Z d and $$\varepsilon $$ ε - $$g_V$$ g V plane are obtained to put limits on the $$Z_d^\mu $$ Z d μ mass up to 100 GeV, coupling strength $$\varepsilon $$ ε and on the Lorentz structure of dark photon coupling with the SM fermions ( $$g_V$$ g V ) at $$\sqrt{s} \approx 1.3$$ s ≈ 1.3  TeV.https://doi.org/10.1140/epjc/s10052-023-11291-7
spellingShingle Ashok Goyal
Mukesh Kumar
Satendra Kumar
Rafiqul Rahaman
Exploring dark $$Z_d$$ Z d -boson in future large hadron-electron collider
European Physical Journal C: Particles and Fields
title Exploring dark $$Z_d$$ Z d -boson in future large hadron-electron collider
title_full Exploring dark $$Z_d$$ Z d -boson in future large hadron-electron collider
title_fullStr Exploring dark $$Z_d$$ Z d -boson in future large hadron-electron collider
title_full_unstemmed Exploring dark $$Z_d$$ Z d -boson in future large hadron-electron collider
title_short Exploring dark $$Z_d$$ Z d -boson in future large hadron-electron collider
title_sort exploring dark z d z d boson in future large hadron electron collider
url https://doi.org/10.1140/epjc/s10052-023-11291-7
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AT rafiqulrahaman exploringdarkzdzdbosoninfuturelargehadronelectroncollider