Stringy scaling of multi-tensor hard string scattering amplitudes and the K-identities
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912258237399040 |
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| author | Lai, Sheng-Hong Lee, Jen-Chi Yang, Yi |
| author_facet | Lai, Sheng-Hong Lee, Jen-Chi Yang, Yi |
| contents | We calculate n-point hard string scattering amplitudes (HSSA) with n-2 tachyons and 2 tensor states at arbitrary mass levels. We discover the stringy scaling behavior of these HSSA. It is found that for HSSA with more than 2 transverse directions, the degree of stringy scaling dimM2 decreases comparing to the degree of stringy scaling dimM1 of the n-1 tachyons and 1 tensor HSSA calculated previously. Moreover, we propose a set of K-identities which is the key to demonstrate the stringy scaling behavior of HSSA. We explicitly prove both the diagonal and off-diagonal K-identities for the 4-point HSSA and give numerical proofs of these K-identities for some higher point HSSA. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19640 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stringy scaling of multi-tensor hard string scattering amplitudes and the K-identities Lai, Sheng-Hong Lee, Jen-Chi Yang, Yi High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology Mathematical Physics We calculate n-point hard string scattering amplitudes (HSSA) with n-2 tachyons and 2 tensor states at arbitrary mass levels. We discover the stringy scaling behavior of these HSSA. It is found that for HSSA with more than 2 transverse directions, the degree of stringy scaling dimM2 decreases comparing to the degree of stringy scaling dimM1 of the n-1 tachyons and 1 tensor HSSA calculated previously. Moreover, we propose a set of K-identities which is the key to demonstrate the stringy scaling behavior of HSSA. We explicitly prove both the diagonal and off-diagonal K-identities for the 4-point HSSA and give numerical proofs of these K-identities for some higher point HSSA. |
| title | Stringy scaling of multi-tensor hard string scattering amplitudes and the K-identities |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2412.19640 |