Probing the pair production of first-generation vectorlike leptons at future <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msup> <mml:mi>e</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>e</mml:mi> <mml:mo

This work explores the discovery potential of the first-generation weak-isosinglet vectorlike leptons, denoted by <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msup> <a:mi>E</a:mi> <a:mo>±</a:mo> </a:msup> </a:math> , via pair production at future electron-positron colliders. Our analysis adopts a comprehensive framework that incorporates beam polarization configurations and leverages detailed detector simulations. We focus on two distinct multilepton signatures: the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mn>2</c:mn> <c:mo>ℓ</c:mo> <c:mo>+</c:mo> <c:mn>2</c:mn> <c:mi>j</c:mi> <c:mo>+</c:mo> <c:msub> <c:menclose notation="updiagonalstrike" other="updiag1"> <c:mi>E</c:mi> </c:menclose> <c:mi>T</c:mi> </c:msub> </c:math> and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mn>3</g:mn> <g:mo>ℓ</g:mo> <g:mo>+</g:mo> <g:mn>2</g:mn> <g:mi>j</g:mi> <g:mo>+</g:mo> <g:msub> <g:menclose notation="updiagonalstrike" other="updiag1"> <g:mi>E</g:mi> </g:menclose> <g:mi>T</g:mi> </g:msub> </g:math> final states ( <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:mo>ℓ</k:mo> <k:mo>=</k:mo> <k:mi>e</k:mi> </k:math> , <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mrow> <m:mi>μ</m:mi> </m:mrow> </m:math> ). Both signatures arise from the decay <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"> <o:msup> <o:mi>E</o:mi> <o:mo>±</o:mo> </o:msup> <o:mo stretchy="false">→</o:mo> <o:mi>Z</o:mi> <o:msup> <o:mi>e</o:mi> <o:mo>±</o:mo> </o:msup> <o:mo>/</o:mo> <o:msup> <o:mi>W</o:mi> <o:mo>±</o:mo> </o:msup> <o:msub> <o:mi>ν</o:mi> <o:mo>ℓ</o:mo> </o:msub> </o:math> and are distinguished by the decay patterns of the associated gauge bosons. By applying optimized selection criteria to both signal and background events, we establish exclusion sensitivities and discovery prospects across the vectorlike lepton mass spectrum. Our findings demonstrate that, for integrated luminosities of 25, 90, and <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mn>1000</r:mn> <r:mtext> </r:mtext> <r:mtext> </r:mtext> <r:msup> <r:mi>fb</r:mi> <r:mrow> <r:mo>−</r:mo> <r:mn>1</r:mn> </r:mrow> </r:msup> </r:math> at corresponding center-of-mass energies of 1, 1.5, and 3 TeV, the accessible mass range extends to approximately 490, 740, and 1440 GeV, respectively, which represents a substantially improvement over the detection limits of existing hadron collider experiments.