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Related papers: Power Counting in Dimensionally Regularized NRQCD

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We discuss factorization in heavy quarkonium production in high energy collisions using NRQCD. Infrared divergences at NNLO are not matched by conventional NRQCD matrix elements. However, we show that gauge invariance and factorization…

High Energy Physics - Phenomenology · Physics 2014-11-18 Gouranga C. Nayak , Jian-Wei Qiu , George Sterman

We compute the two-loop QCD corrections to the heavy quark form factors in case of the vector, axial-vector, scalar and pseudo-scalar currents up to second order in the dimensional parameter $\epsilon = (4-D)/2$. These terms are required in…

High Energy Physics - Phenomenology · Physics 2018-05-30 J. Ablinger , A. Behring , J. Blümlein , G. Falcioni , A. De Freitas , P. Marquard , N. Rana , C. Schneider

We present a simple method to automatically evaluate arbitrary tree-level amplitudes involving the production or decay of a heavy quark pair QQbar in a generic {2S+1}L_J^[1,8] state, i.e., the short distance coefficients appearing in the…

High Energy Physics - Phenomenology · Physics 2009-12-15 P. Artoisenet , F. Maltoni , T. Stelzer

We discuss the issue of the local quark-hadron duality at high energies in two- and four-dimensional QCD. A mechanism of the dynamical realization of the quark-hadron duality in two- dimensional QCD in the limit of large number of colors,…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Blok , M. Shifman , Da-Xin Zhang

We evaluate the corrections to the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) to three-loop order containing a closed heavy-fermion loop. The result constitutes a…

High Energy Physics - Phenomenology · Physics 2009-07-24 P. Marquard , J. H. Piclum , D. Seidel , M. Steinhauser

We apply perturbative QCD to investigate the near threshold heavy quarkonium photoproduction at large momentum transfer. From an explicit calculation, we show that the conventional power counting method will be modified and the three quark…

High Energy Physics - Phenomenology · Physics 2021-09-22 Peng Sun , Xuan-Bo Tong , Feng Yuan

Solving the BKP equation and comparing with the structure function of hadron for deep inelastic scattering processes we are able to find a relation between reggeized N-gluon states and anomalous dimensions of QCD. To this end we perform…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jan Kotanski

The 1/k contribution to the heavy quark potential is first generated at one loop order in QCD. We compute the two loop anomalous dimension for this potential, and find that the renormalization group running is significant. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Aneesh V. Manohar , Iain W. Stewart

The parity and time-reversal invariant effective lagrangian for a heavy fermion interacting with an abelian gauge field, i.e., NRQED, is constructed through order $1/M^4$. The implementation of Lorentz invariance in the effective theory…

High Energy Physics - Phenomenology · Physics 2013-04-03 Richard J. Hill , Gabriel Lee , Gil Paz , Mikhail P. Solon

In this talk, we present the QCD factorization formula for heavy quarkonium production at large $p_T$ with factorized leading-power and next-to-leading power contributions in the $1/p_T$ expansion. We show that the leading order analytical…

High Energy Physics - Phenomenology · Physics 2015-11-27 Yan-Qing Ma , Jian-Wei Qiu , George Sterman , Hong Zhang

The leading nonperturbative QCD corrections to the one gluon exchange quark-quark, quark-antiquark and $q \bar{q}$ pair-excitation potentials are derived by using a covariant form of nonlocal two-quark and two-gluon vacuum expectation…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. J. Yang , H. Q. Shen , G. L. Li , T. Huang , P. N. Shen

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the hadronic decay rates of the pseudoscalar quarkonia, at the lowest order in velocity expansion. The validity of NRQCD factorization for inclusive quarkonium decay…

High Energy Physics - Phenomenology · Physics 2017-12-27 Feng Feng , Yu Jia , Wen-Long Sang

We compute the spectrum of gluons emitted by a highly energetic quark inside a flowing QCD medium, focusing on the soft gluon limit at first order in the opacity expansion. Specifically, we derive the leading energy-suppressed corrections…

High Energy Physics - Phenomenology · Physics 2024-06-24 Matvey V. Kuzmin , Xoán Mayo López

We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the $\beta$ function is available to this order) taking into account…

High Energy Physics - Phenomenology · Physics 2009-11-11 Y. Schroder , M. Steinhauser

A QCD factorization formalism was recently proposed for evaluating heavy quarkonium production at large $p_T$ at collider energies. With systematically calculated short-distance partonic hard parts and evolution kernels of fragmentation…

High Energy Physics - Phenomenology · Physics 2014-06-11 Yan-Qing Ma , Jian-Wei Qiu , Hong Zhang

The nucleon axial coupling constant $g_A$ is calculated in the presence of an external uniform magnetic field using finite energy sum rules. The correlation function of proton, neutron and axial-vector currents is calculated both the…

High Energy Physics - Phenomenology · Physics 2023-04-12 Cristián Villavicencio

Along the years, the Cornell Model has been extraordinarily successful in describing hadronic phenomenology, in particular in physical situations for which an effective theory of the strong interactions such as NRQCD cannot be applied. As a…

High Energy Physics - Phenomenology · Physics 2019-04-26 Vicent Mateu , Pablo G. Ortega , David R. Entem , Francisco Fernandez

We compute the two-loop massless QCD corrections to the amplitude of Higgs boson decay to bottom quark pair and a gluon ($H \rightarrow b + \bar{b} + g$) in the higher powers of the dimensional regularization parameter $\epsilon$. The…

High Energy Physics - Phenomenology · Physics 2026-05-28 Pulak Banerjee , Chinmoy Dey , M. C. Kumar , Vaibhav Pandey , V. Ravindran

We formulate Non-Relativistic Quantum Chromodynamics (NRQCD) on a lattice which is boosted relative to the usual discretization frame. Moving NRQCD (mNRQCD) allows us to treat the momentum for the heavy quark arising from the frame choice…

The non-diagonal correlators of vector and scalar currents are considered at three-loop order in QCD. The full mass dependence is computed in the case where one of the quarks is massless and the other one carries the mass $M$. As…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. G. Chetyrkin , M. Steinhauser