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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | https://arxiv.org/abs/2603.29767 |
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| _version_ | 1866916012423643136 |
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| author | Parmar, Manakkumar Rai, Ajay Kumar |
| author_facet | Parmar, Manakkumar Rai, Ajay Kumar |
| contents | This study investigates the sensitivity of two-body non-leptonic branching fractions to theoretical mass variations in heavy-light mesons ($D$, $D_s$, $B$, and $B_s$). Utilizing the factorization framework, we compare predictions derived from phenomenological masses evaluated with Gaussian and hydrogenic wavefunctions. For bottom meson decays, naive factorization with the number of color $N = 3$ aligns well with experimental data, and the $N \to \infty$ limit offers no improvement. Furthermore, the theoretical mass variation between wavefunction models induces a pronounced, non-linear sensitivity in the branching fractions, establishing the accurate Gaussian mass as a crucial baseline. Conversely, in the charm sector, naive factorization is inherently limited by final-state interactions due to insufficient relativistic recoil. While the $N \to \infty$ limit partially compensates for this, the systematically lower hydrogenic mass yields more accurate rates for several color-suppressed channels. This mass underestimation acts as a necessary kinematic regulator, cleanly offsetting the inflated amplitudes inherent to charm factorization. Ultimately, combining reliable Gaussian mass predictions with factorization provides a simple formalism extendable to the decay properties of unobserved exotics, such as excited $B_c$ mesons and $T_{bb}$ tetraquarks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29767 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sensitivity of Two-Body Non-Leptonic Branching Fractions to Theoretical Mass Variations in Heavy-Light Mesons Parmar, Manakkumar Rai, Ajay Kumar High Energy Physics - Phenomenology This study investigates the sensitivity of two-body non-leptonic branching fractions to theoretical mass variations in heavy-light mesons ($D$, $D_s$, $B$, and $B_s$). Utilizing the factorization framework, we compare predictions derived from phenomenological masses evaluated with Gaussian and hydrogenic wavefunctions. For bottom meson decays, naive factorization with the number of color $N = 3$ aligns well with experimental data, and the $N \to \infty$ limit offers no improvement. Furthermore, the theoretical mass variation between wavefunction models induces a pronounced, non-linear sensitivity in the branching fractions, establishing the accurate Gaussian mass as a crucial baseline. Conversely, in the charm sector, naive factorization is inherently limited by final-state interactions due to insufficient relativistic recoil. While the $N \to \infty$ limit partially compensates for this, the systematically lower hydrogenic mass yields more accurate rates for several color-suppressed channels. This mass underestimation acts as a necessary kinematic regulator, cleanly offsetting the inflated amplitudes inherent to charm factorization. Ultimately, combining reliable Gaussian mass predictions with factorization provides a simple formalism extendable to the decay properties of unobserved exotics, such as excited $B_c$ mesons and $T_{bb}$ tetraquarks. |
| title | Sensitivity of Two-Body Non-Leptonic Branching Fractions to Theoretical Mass Variations in Heavy-Light Mesons |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.29767 |