<p>Collinear emission of <i>W</i> bosons off a high-energy muon induces a large muon-neutrino component among the Parton Distribution Functions (PDFs) of a muon. In this paper we study the phenomenology related to the <i>ν</i><sub><i>μ</i></sub> PDF at future high-energy muon colliders. We examine total rates and differential distributions of the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26042_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>e</mi> <msub> <mover accent="true"> <mi>ν</mi> <mo stretchy="true">¯</mo> </mover> <mi>e</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">\( e{\overline{\nu}}_e \)</EquationSource> </InlineEquation> and <i>Wγ</i> production processes, which receive a large, and often dominant, contribution from this PDF, allowing for a detailed experimental study. As a demonstration of the impact the <i>ν</i><sub><i>μ</i></sub> PDF could have for searches of new physics, we study the charged-current pair production of a couple of heavy states, components of a SU(2)<sub><i>L</i></sub> doublet. In both <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26042_Article_IEq2.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>e</mi> <msub> <mover accent="true"> <mi>ν</mi> <mo stretchy="true">¯</mo> </mover> <mi>e</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">\( e{\overline{\nu}}_e \)</EquationSource> </InlineEquation> production and charged-current pair production of heavy states, we compare results obtained using PDFs with those of a fixed-order simulation.</p>

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Testing the neutrino content of the muon at muon colliders

  • Rodolfo Capdevilla,
  • Francesco Garosi,
  • David Marzocca,
  • Bernd Stechauner

摘要

Collinear emission of W bosons off a high-energy muon induces a large muon-neutrino component among the Parton Distribution Functions (PDFs) of a muon. In this paper we study the phenomenology related to the νμ PDF at future high-energy muon colliders. We examine total rates and differential distributions of the e ν ¯ e \( e{\overline{\nu}}_e \) and production processes, which receive a large, and often dominant, contribution from this PDF, allowing for a detailed experimental study. As a demonstration of the impact the νμ PDF could have for searches of new physics, we study the charged-current pair production of a couple of heavy states, components of a SU(2)L doublet. In both e ν ¯ e \( e{\overline{\nu}}_e \) production and charged-current pair production of heavy states, we compare results obtained using PDFs with those of a fixed-order simulation.