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<p>Understanding the infrared sensitivity of perturbative predictions in QCD is important for assessing the magnitude of possible non-perturbative power corrections to processes with large momentum transfer. In renormalon models, this sensitivity can be related to computable dependences of perturbative quantities on a small gluon mass. However, this procedure cannot be applied to collider processes with gluons at the Born level. To address this problem, we promote the gluon mass to a parameter of a consistent non-Abelian quantum field theory where the gauge symmetry is spontaneously broken through the Higgs mechanism. Working in the limit in which the gluon mass <i>m</i><sub>g</sub> is the smallest dimensionful parameter, we compute through two loops the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">O</mi> <mfenced close=")" open="("> <msub> <mi>m</mi> <mi mathvariant="normal">g</mi> </msub> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{O}\left({m}_{\mathrm{g}}\right) \)</EquationSource> </InlineEquation> contributions to the relation between the pole and <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>MS</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \overline{\mathrm{MS}} \)</EquationSource> </InlineEquation> masses of a heavy quark and to the relation between corresponding field counterterms. We expect that the proposed framework will provide a useful laboratory for probing linear infrared sensitivity of collider observables in QCD.</p>

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A perturbative framework to probe infrared sensitivity in non-Abelian gauge theories

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月18日

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  • Duarte Fontes,
  • Dennis Horstmann,
  • Kirill Melnikov,
  • Davide Maria Tagliabue

摘要

Understanding the infrared sensitivity of perturbative predictions in QCD is important for assessing the magnitude of possible non-perturbative power corrections to processes with large momentum transfer. In renormalon models, this sensitivity can be related to computable dependences of perturbative quantities on a small gluon mass. However, this procedure cannot be applied to collider processes with gluons at the Born level. To address this problem, we promote the gluon mass to a parameter of a consistent non-Abelian quantum field theory where the gauge symmetry is spontaneously broken through the Higgs mechanism. Working in the limit in which the gluon mass mg is the smallest dimensionful parameter, we compute through two loops the O m g \( \mathcal{O}\left({m}_{\mathrm{g}}\right) \) contributions to the relation between the pole and MS ¯ \( \overline{\mathrm{MS}} \) masses of a heavy quark and to the relation between corresponding field counterterms. We expect that the proposed framework will provide a useful laboratory for probing linear infrared sensitivity of collider observables in QCD.