Scholarlink

<p>We present a computation of the one-loop QCD corrections to top-quark pair production in association with a <i>W</i> boson, including terms up to order <i>ε</i><sup>2</sup> in dimensional regularization. Providing a first glimpse into the complexity of the corresponding two-loop amplitude, this result is a first step towards a description of this process at next-to-next-to-leading order (NNLO) in QCD. We perform a tensor decomposition and express the corresponding form factors in terms of a basis of independent special functions with compact rational coefficients, providing a structured framework for future developments. In addition, we derive an explicit analytic representation of the form factors, valid up to order <i>ε</i><sup>0</sup>, expressed in terms of logarithms and dilogarithms. For the complete set of special functions required, we obtain a semi-numerical solution based on generalized power series expansion.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

One-loop QCD corrections to ūd → \( t\overline{t}W \) at \( \mathcal{O}\left({\varepsilon}^2\right) \)

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月16日

查看全文
  • Matteo Becchetti,
  • Maximilian Delto,
  • Sara Ditsch,
  • Philipp Alexander Kreer,
  • Mattia Pozzoli,
  • Lorenzo Tancredi

摘要

We present a computation of the one-loop QCD corrections to top-quark pair production in association with a W boson, including terms up to order ε2 in dimensional regularization. Providing a first glimpse into the complexity of the corresponding two-loop amplitude, this result is a first step towards a description of this process at next-to-next-to-leading order (NNLO) in QCD. We perform a tensor decomposition and express the corresponding form factors in terms of a basis of independent special functions with compact rational coefficients, providing a structured framework for future developments. In addition, we derive an explicit analytic representation of the form factors, valid up to order ε0, expressed in terms of logarithms and dilogarithms. For the complete set of special functions required, we obtain a semi-numerical solution based on generalized power series expansion.