Massive Helicity-Chirality Spinor Formalism from Massless Amplitudes with On-shell Mass Insertion
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| Format: | Preprint |
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2025
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| _version_ | 1866916602401783808 |
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| author | Ni, Yu-Han Wang, Yi-Ning Wu, Chao Yu, Jiang-Hao |
| author_facet | Ni, Yu-Han Wang, Yi-Ning Wu, Chao Yu, Jiang-Hao |
| contents | We introduce a helicity-chirality spinor formalism to describe scattering amplitudes for particles of any masses and spins. The massive spin-spinors introduced by Arkani-hamed-Huang-Huang have been extended to the spin/helicity-transversality spinors, in which a new quantum number transversality, closely related to chirality, is introduced by extending the Poincare symmetry. The massive helicity-chirality amplitudes can be written by the large and small components of massless spinors $λ$ and $η$ following the $λ\sim \sqrt{E}, η\sim \mathbf{m}/\sqrt{E}$ expansion order by order, which formulate the power counting rules of a large energy effective theory. Diagrammatically the mass expansion in amplitudes originates from the on-shell mass insertion: the helicity flip and chirality flip, which completely determines the three-point massive amplitudes. From the chirality-helicity unification at the UV, any massive helicity-chirality amplitude can be one-to-one corresponded to massless helicity amplitudes with (without) additional Higgs insertion. This UV-IR correspondence explains the mass enhancement in the weak decay processes $π^+ \to μ^+ ν$ and $t \to W^+ b$, and isolates the correct UV of the three-point massive QED $F\bar{F}γ$ amplitudes in Arkani-hamed-Huang-Huang formalism. From massless-massive correspondence, the massless on-shell techniques can be utilized to construct higher-point massive amplitudes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_09062 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Massive Helicity-Chirality Spinor Formalism from Massless Amplitudes with On-shell Mass Insertion Ni, Yu-Han Wang, Yi-Ning Wu, Chao Yu, Jiang-Hao High Energy Physics - Phenomenology High Energy Physics - Theory We introduce a helicity-chirality spinor formalism to describe scattering amplitudes for particles of any masses and spins. The massive spin-spinors introduced by Arkani-hamed-Huang-Huang have been extended to the spin/helicity-transversality spinors, in which a new quantum number transversality, closely related to chirality, is introduced by extending the Poincare symmetry. The massive helicity-chirality amplitudes can be written by the large and small components of massless spinors $λ$ and $η$ following the $λ\sim \sqrt{E}, η\sim \mathbf{m}/\sqrt{E}$ expansion order by order, which formulate the power counting rules of a large energy effective theory. Diagrammatically the mass expansion in amplitudes originates from the on-shell mass insertion: the helicity flip and chirality flip, which completely determines the three-point massive amplitudes. From the chirality-helicity unification at the UV, any massive helicity-chirality amplitude can be one-to-one corresponded to massless helicity amplitudes with (without) additional Higgs insertion. This UV-IR correspondence explains the mass enhancement in the weak decay processes $π^+ \to μ^+ ν$ and $t \to W^+ b$, and isolates the correct UV of the three-point massive QED $F\bar{F}γ$ amplitudes in Arkani-hamed-Huang-Huang formalism. From massless-massive correspondence, the massless on-shell techniques can be utilized to construct higher-point massive amplitudes. |
| title | Massive Helicity-Chirality Spinor Formalism from Massless Amplitudes with On-shell Mass Insertion |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.09062 |