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Fitting $Z^0$-pole data from ALEPH and SLD, and TPC data at a lower c.m.s.\ energy, we fix the boundary condition for NLO parton$\to$hadron (hadron$=\pi^\pm, K^\pm, \sum_h h^\pm$) fragmentation functions (FFs) at the low resolution scale of…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Kretzer

In this paper, we calculate the next-to-next-to-leading-order (NNLO) QCD corrections to $e^+e^- \to J/\psi+\eta_c$ at the $B$ factories. After including the NNLO corrections, the cross section of $e^+e^- \to J/\psi+\eta_c$ is enhanced by…

High Energy Physics - Phenomenology · Physics 2023-02-08 Xu-Dong Huang , Bin Gong , Jian-Xiong Wang

We study the next-to-next-to-leading order (NNLO) evolution of flavour non-singlet quark densities and structure functions in massless perturbative QCD. Present information on the corresponding three-loop splitting functions is used to…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. L. van Neerven , A. Vogt

To obtain more precise parton distribution functions (PDFs) it is important to include data on inclusive high transverse energy jet production in the global parton analyses. These data have high statistics and the NNLO terms in the…

High Energy Physics - Phenomenology · Physics 2017-04-26 A. D. Martin , M. G. Ryskin

We discuss recent results on the three-loop (next-to-next-to-leading order, NNLO) time-like splitting functions of QCD and the two-loop (NNLO) coefficient functions in one-particle inclusive e+e- annihilation. These results form the basis…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Mitov , S. Moch , A. Vogt

Within the framework of nonrelativistic QCD (NRQCD) factorization, we calculate the next-to-leading-order (NLO) perturbative corrections to the radiative decay $\Upsilon\to \eta_c(\chi_{cJ})+\gamma$. Both the helicity amplitudes and the…

High Energy Physics - Phenomenology · Physics 2022-01-05 Yu-Dong Zhang , Feng Feng , Wen-Long Sang , Hong-Fei Zhang

We compute the relative-order-v^4 contribution to gluon fragmentation into quarkonium in the 3S1 color-singlet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared…

High Energy Physics - Phenomenology · Physics 2023-07-25 Geoffrey T. Bodwin , U-Rae Kim , Jungil Lee

We review the main aspects of the fragmentation of bottom quarks in top quark decay. The NLO b-quark energy spectrum presents large mass logarithms ln(m_t^2/m_b^2), which can be resummed by the use of the approach of perturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gennaro Corcella

We compute the NNLO QCD corrections for the hadroproduction of a pair of off-shell photons in the limit of a large number of quark flavors. We perform a reduction of the two-loop amplitude to master integrals and calculate the latter…

High Energy Physics - Phenomenology · Physics 2015-06-22 Charalampos Anastasiou , Julian Cancino , Federico Chavez , Claude Duhr , Achilleas Lazopoulos , Bernhard Mistlberger , Romain Mueller

Within the framework of a high-twist approach, we calculate the next-to-leading order (NLO) perturbative QCD corrections to the transverse momentum broadening in semi-inclusive hadron production in deeply inelastic $e+A$ collisions, as well…

High Energy Physics - Phenomenology · Physics 2014-03-19 Zhong-Bo Kang , Enke Wang , Xin-Nian Wang , Hongxi Xing

The next-to-next-to-leading order (NNLO) corrections in massless perturbative QCD are derived for the parton distributions of the photon and the deep inelastic structure functions F_1^gamma and F_2^gamma. We present the full photonic…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Moch , J. A. M. Vermaseren , A. Vogt

We calculate the next-to-leading order(NLO) quantum chromodynamics(QCD) corrections to the inclusive process of $Z_0 \rightarrow B^*_c+\bar{c}+b$ under the non-relativistic QCD(NRQCD) factorization scheme. Technical details about…

High Energy Physics - Phenomenology · Physics 2015-03-05 Jun Jiang , Long-Bin Chen , Cong-Feng Qiao

The short-distance coefficients for the color-octet 3S1 term in the fragmentation function for a gluon to split into heavy quarkonium states is calculated to order alpha_s^2. The gauge-invariant definition of the fragmentation function by…

High Energy Physics - Phenomenology · Physics 2009-10-31 Eric Braaten , Jungil Lee

A simple quark-diquark model for nucleon and $\Lambda$ structure is used to calculate leading twist light-cone fragmentation functions for a quark to inclusively decay into P or $\Lambda$. The parameters of the model are determined by…

High Energy Physics - Phenomenology · Physics 2016-09-01 Muhammad Nzar , Pervez Hoodbhoy

We compute NNLO (${\cal O}(\alpha_s^2)$) corrections to the hard-scattering kernels entering the QCD factorization formula for $B\to V\gamma$ decays, where $V$ is a light vector meson. We give complete NNLO results for the dipole operators…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ahmed Ali , Ben D. Pecjak , Christoph Greub

We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N = 12 for the pure-singlet quark case and N = 10 for all other cases. These results, obtained using physical…

High Energy Physics - Phenomenology · Physics 2023-10-10 S. Moch , B. Ruijl , T. Ueda , J. Vermaseren , A. Vogt

We present FMNLO, a framework to combine general-purpose Monte Carlo generators and fragmentation functions (FFs). It is based on a hybrid scheme of phase-space slicing method and local subtraction method, and accurate to next-to-leading…

High Energy Physics - Phenomenology · Physics 2024-01-09 ChongYang Liu , XiaoMin Shen , Bin Zhou , Jun Gao

The next-to-next-to-leading order (NNLO) pQCD correction to the inclusive decays of the heavy quarkonium $\eta_Q$ ($Q$ being $c$ or $b$) has been done in the literature within the framework of nonrelativistic QCD. One may observe that the…

High Energy Physics - Phenomenology · Physics 2020-05-11 Qing Yu , Xing-Gang Wu , Jun Zeng , Xu-Dong Huang , Huai-Min Yu

We calculate the fragmentation functions for a gluon into $P$-wave $B_c$ mesons within the nonrelativistic QCD factorization framework, incorporating color-singlet and color-octet contributions. Ultraviolet divergences arising from…

High Energy Physics - Phenomenology · Physics 2026-02-03 Xu-Chang Zheng , Xing-Gang Wu

Within the nonrelativistic QCD (NRQCD) factorization framework, we compute the long-awaited ${\mathcal O}(\alpha_s^2)$ correction for the exclusive double charmonium production process at $B$ factories, {\it i.e.}, $e^+e^-\to J/\psi+\eta_c$…

High Energy Physics - Phenomenology · Physics 2022-11-28 Feng Feng , Yu Jia , Zhewen Mo , Wen-Long Sang , Jia-Yue Zhang