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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2401.03920 |
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| _version_ | 1866916084232224768 |
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| author | Melis, Aurora Sanfilippo, Francesco Simula, Silvano |
| author_facet | Melis, Aurora Sanfilippo, Francesco Simula, Silvano |
| contents | We present a lattice determination of the hadronic susceptibilities that, thanks to unitarity and analyticity, constrain the form factors entering the semileptonic $b\rightarrow c$ transitions. We evaluate the transverse and longitudinal susceptibilities of the vector and axial polarization functions at zero momentum transfer from the moments of appropriate two-point correlation functions. The latter are obtained on the lattice employing gauge ensembles of the Extended Twisted Mass Collaboration (ETMC) with $N_f$=2+1+1 flavors of Wilson-clover twisted-mass quarks with masses of all the dynamical quark flavors tuned close to their physical values. The simulations are carried out at four values of the lattice spacing, $a \simeq (0.057,0.068, 0.080, 0.091)$ fm, with spatial lattice sizes up to $L \simeq 7.6$ fm. Heavy-quark masses up to $\approx 3.5$ times the physical charm mass are employed, allowing for a smooth extrapolation to the physical b-quark mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03920 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hadronic susceptibilities for b to c transitions from two point correlation functions Melis, Aurora Sanfilippo, Francesco Simula, Silvano High Energy Physics - Lattice We present a lattice determination of the hadronic susceptibilities that, thanks to unitarity and analyticity, constrain the form factors entering the semileptonic $b\rightarrow c$ transitions. We evaluate the transverse and longitudinal susceptibilities of the vector and axial polarization functions at zero momentum transfer from the moments of appropriate two-point correlation functions. The latter are obtained on the lattice employing gauge ensembles of the Extended Twisted Mass Collaboration (ETMC) with $N_f$=2+1+1 flavors of Wilson-clover twisted-mass quarks with masses of all the dynamical quark flavors tuned close to their physical values. The simulations are carried out at four values of the lattice spacing, $a \simeq (0.057,0.068, 0.080, 0.091)$ fm, with spatial lattice sizes up to $L \simeq 7.6$ fm. Heavy-quark masses up to $\approx 3.5$ times the physical charm mass are employed, allowing for a smooth extrapolation to the physical b-quark mass. |
| title | Hadronic susceptibilities for b to c transitions from two point correlation functions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.03920 |