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This study applies the $$ subtraction formalism to electroweak corrections in Drell-Yan processes. It reveals that final-state radiation introduces linear power corrections, potentially impacting the $$ subtraction method's efficiency.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Electroweak Interactions

Background:

  • Transverse-momentum resummation is crucial for heavy-quark hadroproduction.
  • Electroweak corrections are essential for precise Drell-Yan cross-section calculations.
  • The $$ subtraction formalism offers a method to handleSoft gluon emissions.

Purpose of the Study:

  • To apply the $$ subtraction formalism to electroweak corrections in the Drell-Yan process.
  • To investigate power-suppressed contributions in the $$ subtraction formula.
  • To analyze the impact of initial- and final-state radiation on the Drell-Yan cross section.

Main Methods:

  • Application of the $$ subtraction formalism.
  • Analytical computation of leading power corrections from initial- and final-state radiation.
  • Analysis of the parameter $$ (transverse momentum over invariant mass).

Main Results:

  • Electroweak corrections to the Drell-Yan mechanism were computed using the $$ subtraction formalism.
  • Initial-state radiation yields quadratic power corrections in $$, consistent with prior literature.
  • Final-state radiation introduces linear power corrections in $$, potentially challenging the $$ subtraction method.

Conclusions:

  • The study provides the first application of the $$ subtraction formalism to electroweak corrections in the Drell-Yan process.
  • Linear power corrections from final-state radiation require careful consideration for the efficiency of the $$ subtraction procedure.
  • The calculation's extension to differential distributions is discussed, paving the way for more refined theoretical predictions.