Structure-dependent QED in $B^- \to \ell^- \bar ν(γ)$
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914749160095744 |
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| author | Rowe, Matthew Zwicky, Roman |
| author_facet | Rowe, Matthew Zwicky, Roman |
| contents | Based on explicitly gauge invariant interpolating operators we compute complete next-leading order QED-corrections for leptonic decays. These are sizeable since the helicity-suppression in V-A interactions allows for structure-dependent collinear logs. We have explicitly checked that these logs are absent for helicity-unsuppressed Yukawa-type transitions. Based on $B \to γ$ form factors we present the rates for $B^- \to (μ^-,τ^-) \bar ν(γ)$ in differential and integrated form as a function of the photon energy cut-off $E_γ^{\text{cut}}$. The effect of the virtual structure-dependent corrections are approximately $+5\%$ and $+3\%$ for the $μ$- and $τ$-channel respectively. The structure dependence of the real radiation exceeds that of the virtual one for $E_γ^{\text{cut}}|_μ > 0.18(3)$ GeV and is subdominant for the tau channel even when fully inclusive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07648 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Structure-dependent QED in $B^- \to \ell^- \bar ν(γ)$ Rowe, Matthew Zwicky, Roman High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Based on explicitly gauge invariant interpolating operators we compute complete next-leading order QED-corrections for leptonic decays. These are sizeable since the helicity-suppression in V-A interactions allows for structure-dependent collinear logs. We have explicitly checked that these logs are absent for helicity-unsuppressed Yukawa-type transitions. Based on $B \to γ$ form factors we present the rates for $B^- \to (μ^-,τ^-) \bar ν(γ)$ in differential and integrated form as a function of the photon energy cut-off $E_γ^{\text{cut}}$. The effect of the virtual structure-dependent corrections are approximately $+5\%$ and $+3\%$ for the $μ$- and $τ$-channel respectively. The structure dependence of the real radiation exceeds that of the virtual one for $E_γ^{\text{cut}}|_μ > 0.18(3)$ GeV and is subdominant for the tau channel even when fully inclusive. |
| title | Structure-dependent QED in $B^- \to \ell^- \bar ν(γ)$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2404.07648 |