Scholarlink

<p>Within the soft collinear effective theory (SCET), we derive a factorization theorem which resums Sudakov logarithms (<i>α</i><sub><i>s</i></sub> ln<sup>2</sup>( –<i>t</i>))<sup><i>n</i></sup> to all orders in the quark-in-quark generalized parton distribution (GPD) at large momentum transfer <i>t</i>, and perform a consistency check to one-loop. We show that the same Sudakov factor appears in the ‘Feynman’ contribution to the GPDs of the nucleon. Our result enables the resummation of all the large logarithms ln <i>Q</i><sup>2</sup> and ln<sup>2</sup> <i>t</i> in exclusive processes with two hard scales <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi mathvariant="normal">Λ</mi> <mi>QCD</mi> <mn>2</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {\Lambda}_{\textrm{QCD}}^2 \)</EquationSource> </InlineEquation> ≪ |<i>t</i>| ≪ <i>Q</i><sup>2</sup>. We also present a SCET power counting analysis of the Feynman contributions to the GPDs and show that the <i>x</i>-dependence of GPDs factorizes at large-<i>t</i> with controlled corrections. This in particular implies that any ratio of GPD moments such as the electromagnetic and gravitational form factors (GFF) is perturbatively calculable in this approximation. Furthermore, we identify a novel order <i>α</i><sub><i>s</i></sub> power-law <i>t</i>-dependence in the GPD and the <i>D</i>-type GFF that will dominate over the standard order <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mfenced close=")" open="("> <msubsup> <mi>α</mi> <mi>s</mi> <mn>2</mn> </msubsup> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \left({\alpha}_s^2\right) \)</EquationSource> </InlineEquation> ‘leading twist’ asymptotic contribution in the phenomenologically relevant region of <i>t</i>.</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

Generalized parton distributions and gravitational form factors at large momentum transfer

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年12月10日

查看全文
  • Yoshitaka Hatta,
  • Jakob Schoenleber

摘要

Within the soft collinear effective theory (SCET), we derive a factorization theorem which resums Sudakov logarithms (αs ln2( –t))n to all orders in the quark-in-quark generalized parton distribution (GPD) at large momentum transfer t, and perform a consistency check to one-loop. We show that the same Sudakov factor appears in the ‘Feynman’ contribution to the GPDs of the nucleon. Our result enables the resummation of all the large logarithms ln Q2 and ln2 t in exclusive processes with two hard scales Λ QCD 2 \( {\Lambda}_{\textrm{QCD}}^2 \) ≪ |t| ≪ Q2. We also present a SCET power counting analysis of the Feynman contributions to the GPDs and show that the x-dependence of GPDs factorizes at large-t with controlled corrections. This in particular implies that any ratio of GPD moments such as the electromagnetic and gravitational form factors (GFF) is perturbatively calculable in this approximation. Furthermore, we identify a novel order αs power-law t-dependence in the GPD and the D-type GFF that will dominate over the standard order α s 2 \( \left({\alpha}_s^2\right) \) ‘leading twist’ asymptotic contribution in the phenomenologically relevant region of t.