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High-energy factorization in QCD is investigated beyond leading order and its relationship to the factorization theorem of mass singularities is established to any collinear accuracy. Flavour non-singlet observables are shown to be regular…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Catani , F. Hautmann

The leading logarithmic approximation method fails to yield the correct asymptotic behavior in some realistic situations: inclusion of the beta-terms to which the LLA method is insensitive may change a power growth to merely logarithmic.…

High Energy Physics - Phenomenology · Physics 2013-02-08 F. V. Tkachov

We investigate the gluon Green's function in the high energy limit of QCD using a recently proposed iterative solution of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at next-to-leading logarithmic (NLL) accuracy. To establish the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jeppe R. Andersen , Agustin Sabio Vera

At energies ($\sqrt{s}$) much higher than the electroweak gauge boson masses ($M$) large logarithmic corrections of the scale ratio $\sqrt{s}/M$ occur. While the electroweak Sudakov type double (DL) and universal single (SL) logarithms have…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael Melles

The perturbative instability of NLO collinear factorisation (CF) computations of $p_T$-integrated cross sections of heavy quarkonium production at high hadronic or photon-hadron collision energy is discussed. We resolve this problem via the…

High Energy Physics - Phenomenology · Physics 2023-09-19 Maxim Nefedov

The QCD corrections for the box diagrams are revisited for the case of a heavy top quark with $\mt = 174 \GeV$. We resolve first a longstanding discrepancy between two methods of calculation by showing that they give the same results when…

High Energy Physics - Phenomenology · Physics 2019-08-17 Amitava Datta , E. A. Paschos , J. -M. Schwarz , M. N. Sinha Roy

We develop proper correction formulas at the starting $k-1$ steps to restore the desired $k^{\rm th}$-order convergence rate of the $k$-step BDF convolution quadrature for discretizing evolution equations involving a fractional-order…

Numerical Analysis · Mathematics 2017-03-28 Bangti Jin , Buyang Li , Zhi Zhou

Recent advancements in quantum computing (QC) and machine learning (ML) have garnered significant attention, leading to substantial efforts toward the development of quantum machine learning (QML) algorithms to address a variety of complex…

Quantum Physics · Physics 2024-12-18 Samuel Yen-Chi Chen

In these proceedings, we shall first recall the evolution equations arising when increasing the rapidity $Y=\log(s)$ within the perturbative QCD regime. We shall then summarise the main properties on their asymptotic solutions and discuss…

High Energy Physics - Phenomenology · Physics 2017-08-23 G. Soyez

Heavy-light decays such as $B \to \pi \ell \nu$, $B \to K^{*} \gamma$ and $B \to K^{(*)} \ell \ell$ can be used to constrain the parameters of the Standard Model and in indirect searches for new physics. While the precision of experimental…

High Energy Physics - Lattice · Physics 2015-03-17 E. H. Müller , A. Hart , R. R. Horgan

We construct an evolution equation for the $B$ meson wave functions in the $k_T$ factorization theorem, whose solutions sum the double logarithms associated with the light-cone singularities, namely, the rapidity logarithms. The derivation…

High Energy Physics - Phenomenology · Physics 2015-06-11 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang

For the one-dimensional linear kinetic equation analytical solutions of problems about temperature jump and weak evaporation (condensation) over flat surface are received. The equation has integral of collisions BGK (Bhatnagar, Gross and…

Mathematical Physics · Physics 2014-03-25 A. L. Bugrimov , A. V. Latyshev , A. A. Yushkanov

It is shown that the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the BFKL equation, when evaluated in non-Abelian physical renormalization schemes with BLM optimal scale setting do not exhibit the…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Victor S. Fadin , Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

We claim that factorization implies that the evolution kernel, defined by the logarithmic derivative of the N-th moment of the structure function d ln F_2^N / d ln Q^2, receives logarithmically enhanced contributions (Sudakov logs) from a…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Gardi , R. G. Roberts

We use the BLM procedure to eliminate the renormalization scale ambiguity in the evolution equation for the non-singlet deep-inelastic structure function $F_2^{\text NS}(x,Q).$ The scale of the QCD coupling in the $\overline{\text{MS}}$…

High Energy Physics - Phenomenology · Physics 2009-10-28 Wing Kai Wong

We study the high-energy behavior of the scattering amplitudes in quantum electrodynamics beyond the leading order of the small electron mass expansion in the leading logarithmic approximation. In contrast to the Sudakov logarithms, the…

High Energy Physics - Phenomenology · Physics 2017-05-23 Alexander A. Penin

Evolutionary algorithms have been widely applied for solving dynamic constrained optimization problems (DCOPs) as a common area of research in evolutionary optimization. Current benchmarks proposed for testing these problems in the…

Neural and Evolutionary Computing · Computer Science 2019-07-10 Maryam Hasani-Shoreh , María-Yaneli Ameca-Alducin , Wilson Blaikie , Frank Neumann , Marc Schoenauer

With the ongoing Run 3 of the LHC and its upcoming High-Luminosity upgrade, there is a growing need to study observables with high precision both experimentally and theoretically. To increase precision on the theory side, improvements of…

High Energy Physics - Phenomenology · Physics 2024-04-01 Federico Silvetti

New effective Feynman-like rules are defined for inclusive multijet cross sections in the multi-Regge regime. The solution of the BFKL equation is used as a starting point. The resulting rules involve conformal weight and rapidity as a…

High Energy Physics - Phenomenology · Physics 2009-12-30 Victor T. Kim , Grigorii B. Pivovarov