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We present the first numerical solution to the next to leading order Balitsky-Kovchegov (BK) equation in coordinate space in the large-$N_\mathrm{c}$ limit. In addition to the dipole operator we also solve the evolution of the "conformal…

High Energy Physics - Phenomenology · Physics 2015-08-17 T. Lappi , H. Mäntysaari

In Ref. [1] we presented the JIMWLK Hamiltonian for high energy evolution of QCD amplitudes at the next-to-leading order accuracy in $\alpha_s$. In the present paper we provide details of our original derivation, which was not reported in…

High Energy Physics - Phenomenology · Physics 2015-06-19 Alex Kovner , Michael Lublinsky , Yair Mulian

After a brief introduction to Deep Inelastic Scattering in the Bjorken limit and in the Regge Limit we discuss the operator product expansion in terms of non local string operator and in terms of Wilson lines. We will show how the…

High Energy Physics - Phenomenology · Physics 2010-02-25 Giovanni Antonio Chirilli

In this thesis, we calculate diffractive processes at next-to-leading order (NLO) in the high-energy limit, with an emphasis on exclusive vector meson production and inclusive diffraction in deep inelastic scattering (DIS). Calculations in…

High Energy Physics - Phenomenology · Physics 2023-08-22 Jani Penttala

The next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation describing the high-energy evolution of the scattering between a dilute projectile and a dense target suffers from instabilities unless it is supplemented by a proper…

High Energy Physics - Phenomenology · Physics 2019-05-01 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

We present the first numerical solution to the next to leading order Balitsky-Kovchegov (BK) equation in coordinate space in the large-$N_\mathrm{c}$ limit. In addition to the dipole operator we also solve the evolution of the "conformal…

High Energy Physics - Phenomenology · Physics 2015-04-10 T. Lappi , H. Mäntysaari

Deep inelastic scattering (DIS) total cross section data at small-x as measured by the HERA experiments is well described by Balitsky-Kovchegov (BK) evolution in the leading order dipole picture. Recently the full Next-to-Leading Order…

High Energy Physics - Phenomenology · Physics 2020-08-13 G. Beuf , H. Hänninen , T. Lappi , H. Mäntysaari

We discuss recent developments towards next-to-leading order (NLO) accuracy in the dipole picture. We review recent NLO results for exclusive vector meson production and diffractive structure functions, and discuss how it is becoming…

High Energy Physics - Phenomenology · Physics 2023-03-29 Heikki Mäntysaari

We solve the Balitsky-Kovchegov evolution equation at next-to-leading order accuracy including a resummation of large single and double transverse momentum logarithms to all orders. We numerically determine an optimal value for the constant…

High Energy Physics - Phenomenology · Physics 2016-05-06 T. Lappi , H. Mäntysaari

We include resummation of large transverse logarithms into the next-to-leading order Balitsky-Kovchegov equation. The resummed NLO evolution equation is shown to be stable, the evolution speed being significantly reduced by higher order…

High Energy Physics - Phenomenology · Physics 2016-05-13 T. Lappi , H. Mäntysaari

We calculate the energy dependence of inclusive and diffractive neutrino-nucleus deep-inelastic scattering cross sections within the dipole picture, focusing on the ultra-high-energy regime. We predict an up to $\sim 10\%$ nuclear…

High Energy Physics - Phenomenology · Physics 2024-09-26 Anh Dung Le , Heikki Mäntysaari

This thesis studies gluon saturation in hadronic matter at high energy by calculating next-to-leading order (NLO) corrections to inclusive and diffractive deep inelastic scattering cross sections in the Color Glass Condensate (CGC)…

High Energy Physics - Phenomenology · Physics 2021-12-17 H. Hänninen

We calculate the contribution from the $q \bar q g$ state production to the diffractive cross sections in deep inelastic scattering at high energy. The obtained cross section is finite by itself and a part of the full next-to-leading order…

High Energy Physics - Phenomenology · Physics 2022-11-23 G. Beuf , H. Hänninen , T. Lappi , Y. Mulian , H. Mäntysaari

We compute the transverse and longitudinal diffractive structure functions to full next-to-leading order accuracy in the dipole picture of deep inelastic scattering. Our calculation uses the standard light-cone perturbation theory method…

High Energy Physics - Phenomenology · Physics 2024-01-31 Guillaume Beuf , Tuomas Lappi , Heikki Mäntysaari , Risto Paatelainen , Jani Penttala

To study scattering amplitudes at high-energy, the T-product of two currents can be expanded in terms of coefficient functions (impact factors) and matrix elements of ``composite color dipoles'' made of Wilson line operators with rapidity…

High Energy Physics - Phenomenology · Physics 2010-11-19 Giovanni Antonio Chirilli

Using the chromo-electric dipole coupling Hamiltonian from QCD multipole expansion, we derive the dissociation cross sections of heavy quarkonia by thermal gluons at next-to-leading order (NLO, also known as inelastic parton scattering…

Nuclear Theory · Physics 2018-10-10 Shile Chen , Min He

A stable numerical solution of the impact-parameter-dependent next-to-leading order Balitsky-Kovchegov equation is presented for the first time. The rapidity evolution of the dipole amplitude is discussed in detail. Dipole amplitude…

High Energy Physics - Phenomenology · Physics 2025-12-12 J. Cepila , J. G. Contreras , M. Matas , M. Vaculciak

When computed to next-to-leading order in perturbative QCD, the non-linear Balitsky-Kovchegov (BK) equation for the high-energy evolution of the dipole-hadron scattering appears to be unstable. We show that this instability can be avoided…

High Energy Physics - Phenomenology · Physics 2021-02-03 B. Ducloué , E. Iancu , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

The process of single diffractive dissociation off nuclei is considered on a basis of solutions to the nonlinear evolution equation. The relevant saturation scales $Q_{s A}^D(x,x_0)$ are determined and their dependences on Bjorken $x$,…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Levin , M. Lublinsky

We derive an evolution equation describing the high energy behavior of the cross section for the single diffractive dissociation in deep inelastic scattering on a hadron or a nucleus. The evolution equation resums multiple BFKL pomeron…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yuri V. Kovchegov , Eugene Levin
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