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<p>We compute one-loop QCD corrections to the triple differential width of the inclusive decay <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>B</mi> <mo stretchy="true">¯</mo> </mover> <mo>→</mo> <msub> <mi>X</mi> <mi>c</mi> </msub> <mi>ℓ</mi> <msub> <mover accent="true"> <mi>ν</mi> <mo stretchy="true">¯</mo> </mover> <mi>ℓ</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">\( \overline{B}\to {X}_c\ell {\overline{\nu}}_{\ell } \)</EquationSource> </InlineEquation> including contributions from all relevant dimension-six operators in the Weak Effective Theory (WET), at leading power in the heavy quark expansion. Furthermore we derive for the first time up to order <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">O</mi> <mfenced close=")" open="("> <msub> <mi>α</mi> <mi>s</mi> </msub> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{O}\left({\alpha}_s\right) \)</EquationSource> </InlineEquation> analytic expressions for the first three moments of the distribution in the lepton energy, hadronic invariant mass and dilepton invariant mass, in the presence of beyond the Standard Model contributions from the WET.</p>

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One-loop QCD corrections to \( \overline{B}\to {X}_c\ell {\overline{\nu}}_{\ell } \) in and beyond the Standard Model

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  • 发表日期：

    2026年7月3日

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  • Alexandre Carvunis,
  • Gael Finauri

摘要

We compute one-loop QCD corrections to the triple differential width of the inclusive decay B ¯ → X c ℓ ν ¯ ℓ \( \overline{B}\to {X}_c\ell {\overline{\nu}}_{\ell } \) including contributions from all relevant dimension-six operators in the Weak Effective Theory (WET), at leading power in the heavy quark expansion. Furthermore we derive for the first time up to order O α s \( \mathcal{O}\left({\alpha}_s\right) \) analytic expressions for the first three moments of the distribution in the lepton energy, hadronic invariant mass and dilepton invariant mass, in the presence of beyond the Standard Model contributions from the WET.