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We compute the next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of the unpolarized flavour-singlet parton densities in perturbative QCD. The exact expressions are presented in both…

High Energy Physics - Phenomenology · Physics 2010-04-05 A. Vogt , S. Moch , J. A. M. Vermaseren

Combining the up-to-date experimental information on $B\to\pi K, \pi K^{\ast}$ and $\rho K$ decays, we revisit the decay rates and CP asymmetries of these decays within the framework of QCD factorization. Using an infrared finite gluon…

High Energy Physics - Phenomenology · Physics 2009-01-06 Qin Chang , Xin-Qiang Li , Ya-Dong Yang

Within the NRQCD factorization framework, we compute the next-to-leading-order QCD corrections to the gluon fragmentation into the ${}^1S_0^{(1,8)}$ Fock components of a quarkonium, at the lowest order in velocity expansion. We follow the…

High Energy Physics - Phenomenology · Physics 2023-02-15 Feng Feng , Yu Jia

The computation of direct CP asymmetries in charmless B decays at next-to-next-to-leading order (NNLO) in QCD is of interest to ascertain the short-distance contribution. Here we compute the two-loop penguin contractions of the…

High Energy Physics - Phenomenology · Physics 2015-09-30 Guido Bell , Martin Beneke , Tobias Huber , Xin-Qiang Li

We have recently shown that the large direct CP violation observed in the decay B^0 -> pi^+ pi^-, and the enhanced branching ratio for B^0 -> pi^0 pi^0, can be understood by invoking a small mixing of the pi pi system with the dominant D…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Barshay , L. M. Sehgal , J. van Leusen

We calculate the branching ratio for B -> J/psi + anything, within the color-singlet approximation for J/psi production, but including perturbative QCD corrections beyond the leading logarithm approximation. Such higher order corrections…

High Energy Physics - Phenomenology · Physics 2009-10-30 Joao M. Soares , Tibor Torma

We study the charmless rare decays $B \to K^{\ast} K^{\ast}$ within the Perturbative QCD picture. We calculate not only factorizable and non-factorizable diagrams, but also annihilation ones. Our predictions are the following: The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jin Zhu , Yue-Long Shen , Cai-Dian Lu

We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to inclusive processes $W^+\to J/\psi(\eta_c)+c+\bar{s}+X$ and $W^+\to B_c(B_c^{*})+b+\bar{s}+X$ in the framework of nonrelativistic QCD (NRQCD)…

High Energy Physics - Phenomenology · Physics 2020-02-26 Zi-Qiang Chen , Hao Yang , Cong-Feng Qiao

We show that it is possible to construct $\epsilon^\prime/\epsilon$ to NLO using partially quenched chiral perturbation theory (PQChPT) from amplitudes that are computable on the lattice. We demonstrate that none of the needed amplitudes…

High Energy Physics - Lattice · Physics 2009-11-10 Jack Laiho , Amarjit Soni

The branching ratios and CP violations of the $B\to D\pi$ decays, including both the color-allowed and the color-suppressed modes, are investigated in detail within QCD framework by considering all diagrams which lead to three effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fang Su , Yue-Liang Wu , Ya-Dong Yang , Ci Zhuang

There are different approaches for the hadronic B decay calculations, recently. In this paper, we upgrade three of them, namely factorization, QCD factorization and the perturbative QCD approach based on $k_T$ factorization, by using new…

High Energy Physics - Phenomenology · Physics 2011-07-19 Bi-Hai Hong , Cai-Dian Lu

Within the framework of the perturbative QCD approach, we study the two-body charmless decays $B\to K_1(1270)(K_1(1400))\pi(K)$. We find the following results: (i) The decays $\bar B^0\to K_1(1270)^+\pi^-, K_1(1400)^+\pi^-$ are incompatible…

High Energy Physics - Phenomenology · Physics 2015-06-23 Zhi-Qing Zhang , Zhi-Wei Hou , Yueling Yang , Junfeng Sun

Within the framework of QCD factorization (QCDF), power corrections due to penguin annihilation can account for theobserved rates of penguin-dominated two-body decays of $B$ mesons and direct CP asymmetries $A_{CP}(K^-\pi^+)$,…

High Energy Physics - Phenomenology · Physics 2011-02-11 Hai-Yang Cheng , Chun-Khiang Chua

In this paper, we studied the quasi-two-body $B_c \to D_{(s)} [ \rho(770),\rho(1450),\rho(1700) \to ] \pi \pi$ decays by employing the perturbative QCD (PQCD) factorization approach. The two-pion distribution amplitudes $\Phi_{\pi\pi}$ are…

High Energy Physics - Phenomenology · Physics 2017-12-29 Ai-Jun Ma , Ya Li , Zhen-Jun Xiao

In this paper we make a systematic study of the semileptonic decays $B/B_s \to (\eta,\etar, G)(l^+l^-,l\bar{\nu},\nu\bar{\nu})$ by employing the perturbative QCD (pQCD) factorization approach. The next-to-leading-order (NLO) contributions…

High Energy Physics - Phenomenology · Physics 2013-05-14 Wen-Fei Wang , Ying-Ying Fan , Min Liu , Zhen-Jun Xiao

In the heavy-quark limit, the hadronic matrix elements entering nonleptonic $B$-meson decays into two light mesons can be calculated from first principles including ``nonfactorizable'' strong-interaction corrections. The $B\to\pi K,\pi\pi$…

High Energy Physics - Phenomenology · Physics 2010-05-28 M. Beneke , G. Buchalla , M. Neubert , C. T. Sachrajda

The next-to-next-to-leading order (NNLO) QCD analysis of the revised experimental data of the CCFR collaboration for the $xF_3$ structure function of the deep-inelastic scattering of neutrinos and antinuetrinos on the nucleons is made by…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. L. Kataev , A. V. Kotikov , G. Parente , A. V. Sidorov

We study CP violation and the contribution of the strong kaon-pion interactions in the three body B --> K pi+ pi- decays. We extend our recent work on the effect of the two-pion S- and P-wave interactions to that of the corresponding…

High Energy Physics - Phenomenology · Physics 2011-03-23 B. El-Bennich , A. Furman , R. Kaminski , L. Lesniak , B. Loiseau , B. Moussallam

We address the long-standing problem of negative decay and production rates in perturbative QCD for exclusive processes by proposing amplitude-level NRQCD factorization as a systematic prescription. Building on this, we present the first…

High Energy Physics - Phenomenology · Physics 2026-04-09 Chao Zeng , Bin Gong , Jian-Xiong Wang , Ruichang Niu , Xu-Dong Huang , Cong Li

NNLO QCD corrections for the pion electromagnetic form factor at large momentum transfer have been recently performed in [Phys. Rev. Lett. 132, 201901 (2024); Phys. Rev. Lett. 134, 221901 (2025)], revealing that the NLO and NNLO…

High Energy Physics - Phenomenology · Physics 2025-12-29 Sheng-Quan Wang , Zuo-Fen Liao , Jian-Ming Shen , Hua Zhou , Jia-Wei Zhang , Jiang Yan , Xing-Gang Wu , Leonardo Di Giustino