Tootfinder

A new method to access heavy meson lightcone distribution amplitudes from first-principle
Xue-Ying Han, Jun Hua, Xiangdong Ji, Cai-Dian L\"u, Wei Wang, Ji Xu, Qi-An Zhang, Shuai Zhao
https://arxiv.org/abs/2403.17492

A new method to access heavy meson lightcone distribution amplitudes from first-principle
We present a method to compute lightcone distribution amplitudes (LCDAs) of heavy meson within heavy quark effective theory (HQET). Our method utilizes quasi distribution amplitudes (quasi-DAs) with a large momentum component $P^z$. We point out that by sequentially integrating out $P^z$ and $m_H$, one can disentangle different dynamical scales. Integrating out $P^z$ allows to connect quasi-DAs to QCD LCDAs, and then integrating out $m_H$ enables to relate QCD LCDAs to HQET LCDAs. To verify thi…

On the boundedness of solutions of a forced discontinuous oscillator
Tere M-Seara, Luan V. M. F. Silva, Jordi Villanueva
https://arxiv.org/abs/2403.18068 h…

On the boundedness of solutions of a forced discontinuous oscillator
We study the global boundedness of the solutions of a non-smooth forced oscillator with a periodic and real analytic forcing. We show that the impact map associated with this discontinuous equation becomes a real analytic and exact symplectic map when written in suitable canonical coordinates. By an accurate study of the behaviour of the map for large amplitudes and by employing a parametrization KAM theorem, we show that the periodic solutions of the unperturbed oscillator persist as two-dimen…

A new method to access heavy meson lightcone distribution amplitudes from first-principle
Xue-Ying Han, Jun Hua, Xiangdong Ji, Cai-Dian L\"u, Wei Wang, Ji Xu, Qi-An Zhang, Shuai Zhao
https://arxiv.org/abs/2403.17492

A new method to access heavy meson lightcone distribution amplitudes from first-principle
We present a method to compute lightcone distribution amplitudes (LCDAs) of heavy meson within heavy quark effective theory (HQET). Our method utilizes quasi distribution amplitudes (quasi-DAs) with a large momentum component $P^z$. We point out that by sequentially integrating out $P^z$ and $m_H$, one can disentangle different dynamical scales. Integrating out $P^z$ allows to connect quasi-DAs to QCD LCDAs, and then integrating out $m_H$ enables to relate QCD LCDAs to HQET LCDAs. To verify thi…

1-bit Quantized On-chip Hybrid Diffraction Neural Network Enabled by Authentic All-optical Fully-connected Architecture
Yu Shao, Haiqi Gao, Yipeng Chen, Yujie liu, Junren Wen, Haidong He, Yuchuan Shao, Yueguang Zhang, Weidong Shen, Chenying Yang
https://arxiv.org/abs/2404.07443

1-bit Quantized On-chip Hybrid Diffraction Neural Network Enabled by Authentic All-optical Fully-connected Architecture
Optical Diffraction Neural Networks (DNNs), a subset of Optical Neural Networks (ONNs), show promise in mirroring the prowess of electronic networks. This study introduces the Hybrid Diffraction Neural Network (HDNN), a novel architecture that incorporates matrix multiplication into DNNs, synergizing the benefits of conventional ONNs with those of DNNs to surmount the modulation limitations inherent in optical diffraction neural networks. Utilizing a singular phase modulation layer and an ampli…

Study of $B_s \to \phi (\rho^0, \omega)$ Decays in Standard Model and Family Non-universal $Z^\prime$ Model
Ying Li, Yue Sun, Zhi-Tian Zou
https://arxiv.org/abs/2402.10408

Study of $B_s \to ϕ(ρ^0, ω)$ Decays in Standard Model and Family Non-universal $Z^\prime$ Model
Within QCD factorization approach, we employ the new results of form factors of $B_s \to ϕ$ and calculate the branching fractions, CP asymmetries (CPAs) and polarization fractions of the decay modes $B_s \to ϕ(ρ^0, ω)$ in both the standard model (SM) and the family non-universal $Z^\prime$ model. We find that in SM the above observables are relate to two parameters $ρ_H$ and $ϕ_H$, which characterize the end-point divergence in the hard spectator-scattering amplitudes. When setting $ρ_H=…