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The existing theory of hard exclusive QCD processes is based on two assumptions: (i) $factorization$ into a $hard\,block$ times light front distribution amplitudes (DA's); (ii) use of perturbative gluon exchanges within the hard block.…

High Energy Physics - Phenomenology · Physics 2021-03-31 Edward Shuryak , Ismail Zahed

Uncertainties in the next-to-leading-order calculations of heavy-quark ($Q$) production are investigated. Predictions for total cross sections, single-inclusive distributions of heavy quarks and heavy flavoured hadrons, as well as for…

High Energy Physics - Phenomenology · Physics 2010-11-01 Gerhard A. Schuler

The `optimal' factorization scale $\mu_0$ is calculated for open heavy quark production. We find that the optimal value is $\mu_F=\mu_0\simeq 0.85\sqrt{p^2_T+m_Q^2} $; a choice which allows us to resum the double-logarithmic,…

High Energy Physics - Phenomenology · Physics 2017-03-07 E. G. de Oliveira , A. D. Martin , M. G. Ryskin

The renormalization-scale dependence of the non-factorizable virtual corrections to Higgs boson production in weak boson fusion at next-to-next-to-leading order in perturbative QCD is unusually strong, due to the peculiar nature of these…

High Energy Physics - Phenomenology · Physics 2023-11-10 Christian Brønnum-Hansen , Ming-Ming Long , Kirill Melnikov

This paper studies the estimation of characteristic-based quantile factor models where the factor loadings are unknown functions of observed individual characteristics while the idiosyncratic error terms are subject to conditional quantile…

Econometrics · Economics 2023-04-27 Liang Chen , Juan Jose Dolado , Jesus Gonzalo , Haozi Pan

We investigate electroproduction of pion pairs on the nucleon in the framework of QCD factorization for hard exclusive processes. We extend previous analyses by taking the hard-scattering coefficients at next-to-leading order in $\alpha_s$.…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Warkentin , M. Diehl , D. Yu. Ivanov , A. Schafer

We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Nagy , Gabor Somogyi , Zoltan Trocsanyi

The one-loop QCD heavy quark potential is computed to order v^2 in the color singlet and octet channels. Several errors in the previous literature are corrected. To be consistent with the velocity power counting, the full dependence on |p'…

High Energy Physics - Phenomenology · Physics 2014-11-17 Aneesh V. Manohar , Iain W. Stewart

A unified QCD formulation of leptoproduction of massive quarks in charged current and neutral current processes is described. This involves adopting consistent factorization and renormalization schemes which encompass both…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. A. G. Aivazis , John C. Collins , Fredrick I. Olness , Wu-Ki Tung

Conventionally, one adopts typical momentum flow of a physical observable as the renormalization scale for its perturbative QCD (pQCD) approximant. This simple treatment leads to renormalization scheme-and-scale ambiguities due to the…

High Energy Physics - Phenomenology · Physics 2018-03-05 Yang Ma , Xing-Gang Wu

A short review is given of calculations of the pion electromagnetic and transition form factors within the framework of quantum chromodynamics. It is argued that both the perturbative and nonperturbative aspects of the Q^2 dependence of…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Radyushkin

The QCD factorization approach provides the theoretical basis for a systematic analysis of nonleptonic decay amplitudes of B mesons in the heavy-quark limit. After recalling the basic ideas underlying this formalism, several tests of QCD…

High Energy Physics - Phenomenology · Physics 2010-11-23 Matthias Neubert

Observables involving heavy quarks can be computed in perturbative QCD in two different approximation schemes: either the quark mass dependence is fully retained, or it is retained only where needed to regulate the collinear singularity.…

High Energy Physics - Phenomenology · Physics 2022-09-12 Daniele Gaggero , Andrea Ghira , Simone Marzani , Giovanni Ridolfi

I give a brief introduction to the physics of generalized parton distributions and distribution amplitudes. I then report on the status of the calculation of radiative corrections for the exclusive processes where these quantities occur.

High Energy Physics - Phenomenology · Physics 2007-05-23 Markus Diehl

We give a short proof -- not relying on ideal classes or the geometry of numbers -- of a known criterion for quadratic orders to possess unique factorization.

Number Theory · Mathematics 2020-10-13 Paul Pollack , Noah Snyder

The singularities associated with QCD factorization in the collinear limit are key ingredients for high-precision theoretical predictions in particle physics. They govern the collinear behaviour of scattering amplitudes, as well as the…

High Energy Physics - Phenomenology · Physics 2023-10-31 Prasanna K. Dhani , Germán Rodrigo , German F. R. Sborlini

A difference equation based method of determining two factors of a composite is presented. The feasibility of P-complexity is shown. Presentation of material is non-theoretical; intended to be accessible to a broader audience of non…

Discrete Mathematics · Computer Science 2016-02-23 Charles Sauerbier

Heavy quarkonium production at high transverse momentum ($p_T$) in hadronic collisions is explored in the QCD factorization approach. We find that the leading power in the $1/p_T$ expansion is responsible for high $p_T$ regime, while the…

High Energy Physics - Phenomenology · Physics 2021-08-03 Kyle Lee , Jian-Wei Qiu , George Sterman , Kazuhiro Watanabe

Although the choice of a factorization scheme is as important as the choice of a factorization scale, the dependence of theoretical predictions (at finite order) on the choice of a factorization scheme has been little investigated. This is…

High Energy Physics - Phenomenology · Physics 2014-11-20 Karel Kolar

We outline $QCD$ predictions for the diffractive electroproduction of heavy flavor vector mesons and compare them with available data.

High Energy Physics - Phenomenology · Physics 2008-11-26 Leonid Frankfurt , Aharon Levy