%0 Generic %1 sun2014constraints %A Sun, Junfeng %A Chang, Qin %A Hu, Xiaohui %A Yang, Yueling %D 2014 %K B Physics %T Constraints on the annihilation corrections in $B_u,d$ $\to$ $PV$ decays within QCD factorization %U http://arxiv.org/abs/1412.2334 %X In this paper, we investigate the contributions of hard spectator scattering and annihilation in $B$ $\to$ $PV$ decays within QCD factorization framework. With available experimental data on $B$ $\to$ $\piK^\ast$, $\rhoK$, $\pi\rho$ and $K\phi$ decays, comprehensive $\chi^2$ analyses on parameters $X_A,H^i,f$ or ($\rho_A,H^i,f$, $\phi_A,H^i,f$) are performed, where $X_A^f$ ($X_A^i$) and $X_H$ are used to parameterize the endpoint divergences of the (non)factorizable annihilation and hard spectator scattering amplitudes, respectively. From $\chi^2$ analyses, it is found that (1) the topology-dependent parameterization is feasible for $B$ $\to$ $PV$ decays; (2) A relatively small value of inverse moment parameter $łambda_B$ $\sim$ 0.2 GeV for $B$ meson wave function is allowed by $B$ $\to$ $PP$, $PV$ decays; (3) At present accurate level of experimental measurements and theoretical evaluations, $X_H$ $=$ $X_A^i$ is a good simplification, but $X_H$ $\neq$ $X_A^f$ at $68\%$ C. L.; (4) With the simplification $X_H$ $=$ $X_A^i$, parameters $X_A^f$ and $X_A^i$ should be treated individually, and their accessible spaces are clearly separated. The above-mentioned findings are very similar to the case in $B$ $\to$ $PP$ decays. Numerically, we get $(\rho_A,H^i,\phi_A,H^i^\circ) = (3.08^+1.21_-1.34, -145^+20_-11)$ and $(\rho_A^f,\phi_A^f^\circ) = (0.83^+0.14_-0.12, -36^+11_-8)$ at $68\%$ C. L. for $B$ $\to$ $PV$ decays. With the best-fit parameters, all results for observables of $B$ $\to$ $PV$ decays agree with experimental data within errors. The forthcoming refined measurements at LHCb and SuperB factory are highly expected to further understand the hard spectator scattering and annihilation corrections.

@preprint{sun2014constraints, abstract = {In this paper, we investigate the contributions of hard spectator scattering and annihilation in $B$ ${\to}$ $PV$ decays within QCD factorization framework. With available experimental data on $B$ ${\to}$ ${\pi}K^{\ast}$, ${\rho}K$, ${\pi}{\rho}$ and $K{\phi}$ decays, comprehensive $\chi^2$ analyses on parameters $X_{A,H}^{i,f}$ or (${\rho}_{A,H}^{i,f}$, ${\phi}_{A,H}^{i,f}$) are performed, where $X_{A}^{f}$ ($X_{A}^{i}$) and $X_{H}$ are used to parameterize the endpoint divergences of the (non)factorizable annihilation and hard spectator scattering amplitudes, respectively. From $\chi^2$ analyses, it is found that (1) the topology-dependent parameterization is feasible for $B$ ${\to}$ $PV$ decays; (2) A relatively small value of inverse moment parameter ${\lambda}_{B}$ ${\sim}$ 0.2 GeV for $B$ meson wave function is allowed by $B$ ${\to}$ $PP$, $PV$ decays; (3) At present accurate level of experimental measurements and theoretical evaluations, $X_{H}$ $=$ $X_{A}^{i}$ is a good simplification, but $X_{H}$ $\neq$ $X_{A}^{f}$ at $68\%$ C. L.; (4) With the simplification $X_{H}$ $=$ $X_{A}^{i}$, parameters $X_{A}^{f}$ and $X_{A}^{i}$ should be treated individually, and their accessible spaces are clearly separated. The above-mentioned findings are very similar to the case in $B$ ${\to}$ $PP$ decays. Numerically, we get $({\rho}_{A,H}^{i},{\phi}_{A,H}^{i}[^{\circ}]) = (3.08^{+1.21}_{-1.34}, -145^{+20}_{-11})$ and $({\rho}_{A}^{f},{\phi}_{A}^{f}[^{\circ}]) = (0.83^{+0.14}_{-0.12}, -36^{+11}_{-8})$ at $68\%$ C. L. for $B$ ${\to}$ $PV$ decays. With the best-fit parameters, all results for observables of $B$ ${\to}$ $PV$ decays agree with experimental data within errors. The forthcoming refined measurements at LHCb and SuperB factory are highly expected to further understand the hard spectator scattering and annihilation corrections.}, added-at = {2014-12-26T08:14:26.000+0100}, author = {Sun, Junfeng and Chang, Qin and Hu, Xiaohui and Yang, Yueling}, biburl = {https://www.bibsonomy.org/bibtex/28c6b9de1dc574a7c2567bb6c90f5c69c/twyeh}, description = {Constraints on the annihilation corrections in $B_{u,d}$ ${\to}$ $PV$ decays within QCD factorization}, interhash = {12d2397d627b52c1c3433b42d6c7dcd4}, intrahash = {8c6b9de1dc574a7c2567bb6c90f5c69c}, keywords = {B Physics}, note = {cite arxiv:1412.2334Comment: 16 pages, 3 figures}, timestamp = {2014-12-26T08:14:26.000+0100}, title = {Constraints on the annihilation corrections in $B_{u,d}$ ${\to}$ $PV$ decays within QCD factorization}, url = {http://arxiv.org/abs/1412.2334}, year = 2014 }