Britzger, Daniel, Klein, Max and Spiesberger, Hubert
(2020)
Electroweak physics in inclusive deep inelastic scattering at the LHeC.
European Physical Journal C, 80 (9).
831-.
Abstract
<jats:title>Abstract</jats:title><jats:p>At the proposed electron-proton collider LHeC electroweak interactions can be uniquely studied in a largely unexplored kinematic region of spacelike momentum transfer. We simulate inclusive neutral- and charged-current deep-inelastic lepton proton scattering cross section data at center-of-mass energies of 1.2 and 1.3 TeV, and estimate the uncertainties of Standard Model parameters as well as of parameters describing physics beyond the Standard Model. A precision at sub-percent level is expected for the measurement of the weak neutral-current couplings of the light-quarks to the <jats:italic>Z</jats:italic> boson, <jats:inline-formula><jats:alternatives><jats:tex-math>$$g_{A/V}^{u/d}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>g</mml:mi> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo>/</mml:mo> <mml:mi>V</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>u</mml:mi> <mml:mo>/</mml:mo> <mml:mi>d</mml:mi> </mml:mrow> </mml:msubsup> </mml:math></jats:alternatives></jats:inline-formula>, improving their present precision by more than an order of magnitude. The weak mixing angle can be determined with a precision of about <jats:inline-formula><jats:alternatives><jats:tex-math>$$\Delta \sin ^2\theta _\text {W}=\pm \,0.00015$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Δ</mml:mi> <mml:msup> <mml:mo>sin</mml:mo> <mml:mn>2</mml:mn> </mml:msup> <mml:msub> <mml:mi>θ</mml:mi> <mml:mtext>W</mml:mtext> </mml:msub> <mml:mo>=</mml:mo> <mml:mo>±</mml:mo> <mml:mspace /> <mml:mn>0.00015</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>, and its scale dependence can be studied in the range between about 25 and 700 GeV. An indirect determination of the <jats:italic>W</jats:italic>-boson mass in the on-shell scheme is possible with an experimental uncertainty down to <jats:inline-formula><jats:alternatives><jats:tex-math>$$\Delta m_{W}=\pm \,6\,\text {MeV}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Δ</mml:mi> <mml:msub> <mml:mi>m</mml:mi> <mml:mi>W</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mo>±</mml:mo> <mml:mspace /> <mml:mn>6</mml:mn> <mml:mspace /> <mml:mtext>MeV</mml:mtext> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>. We discuss how measurements in deep-inelastic scattering compare with those in the timelike domain, and which aspects are unique, for instance electroweak parameters in charged-current interactions. We conclude that the LHeC will determine electroweak physics parameters, in the spacelike region, with unprecedented precision leading to thorough tests of the Standard Model and possibly beyond.</jats:p>
Item Type: | Article |
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Depositing User: | Symplectic Admin |
Date Deposited: | 29 Oct 2020 09:35 |
Last Modified: | 17 Mar 2024 09:48 |
DOI: | 10.1140/epjc/s10052-020-8367-y |
Open Access URL: | https://doi.org/10.1140/epjc/s10052-020-8367-y |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3105481 |