The subtraction method: electroweak corrections and power suppressed contributions.

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.