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One of the nicest results in cosmological perturbation theory is the analytical resummaton of the leading corrections at large momentum, which was obtained by Crocce and Scoccimarro for the propagator. Using an exact evolution equation, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Stefano Anselmi , Sabino Matarrese , Massimo Pietroni

To sum high energy leading logarithms in a consistent way, one has to impose the strong ordering in both projectile rapidity and dense target rapidity simultaneously, which results in a kinematically improved Balitsky-Kovchegov(BK)…

High Energy Physics - Phenomenology · Physics 2020-01-29 Du-xin Zheng , Jian Zhou

The Balitsky-Kovchegov equation describes the high-energy growth of gauge theory scattering amplitudes as well as nonlinear saturation effects which stop it. We obtain the three-loop corrections to this equation in planar $\mathcal{N}=4$…

High Energy Physics - Phenomenology · Physics 2018-03-06 Simon Caron-Huot , Matti Herranen

Higher order corrections to the Balitsky-Kovchegov equation have been estimated by introducing a rapidity veto which forbids subsequent emissions to be very close in rapidity and is known to mimic higher order corrections to the linear BFKL…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Chachamis , M. Lublinsky , A Sabio Vera

We revisited solution of a linearized form of leading order Balitsky-Kovchegov equation (linear in S-matrix for dipole-nucleus scattering). Here we adopted dipole transverse width dependent cutoff in order to regulate the dipole integral.…

High Energy Physics - Phenomenology · Physics 2017-05-03 Raktim Abir , Mariyah Siddiqah

We determine the initial condition of the Balitsky-Kovchegov evolution equation at next-to-leading order (NLO) accuracy using HERA deep inelastic scattering data. Posterior distributions characterizing the initial condition are extracted…

High Energy Physics - Phenomenology · Physics 2025-08-07 Carlisle Casuga , Henri Hänninen , Heikki Mäntysaari

We calculate the Next-to-Leading Order (NLO) virtual correction to the Higgs-induced DIS coefficient function in the infinite top-mass limit. Since we want to use this result in the framework of kt-factorization to resum small-x logarithms…

High Energy Physics - Phenomenology · Physics 2022-12-07 Anna Rinaudo

We derive the $k_T$ resummation for a transverse-momentum-dependent charmonium wave function, which involves the bottom quark mass $m_b$, the charm quark mass $m_c$, and the charm quark transverse momentum $k_T$, up to the…

High Energy Physics - Phenomenology · Physics 2020-10-28 Xin Liu , Hsiang-nan Li , Zhen-Jun Xiao

We discuss the high energy diffractive dissociation in DIS at the Next to Leading Order. In the large $N_c$ dipole limit we derive the NLO version of the Kovchegov-Levin equation. We argue that the original structure of the equation is…

High Energy Physics - Phenomenology · Physics 2014-10-21 Michael Lublinsky

We perform a global analysis of HERA total inclusive cross section and charm quark production data to extract the non-perturbative initial condition for the next-to-leading order Balitsky-Kovchegov (BK) equation. We extend our previous…

High Energy Physics - Phenomenology · Physics 2026-04-27 Carlisle Casuga , Heikki Mäntysaari

We use Bayesian inference to constrain the parameters describing the initial amplitude input to the Balitsky-Kovchegov evolution equation at next-to-leading order accuracy against precise HERA total inclusive cross section and heavy quark…

High Energy Physics - Phenomenology · Physics 2025-11-04 Carlisle Casuga , Henri Hänninen , Heikki Mäntysaari

We analyse the Balitsky-Kovchegov (BK) saturation equation in momentum space and solve it numerically. We confirm that, in the limit where the transverse momentum of the incident particle k is much bigger than the momentum transfer q, the…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. Marquet , G. Soyez

Perturbative corrections beyond leading-log accuracy to BFKL and BK equations, describing the rapidity evolution of QCD scattering amplitudes at high energy, exhibit strong convergence problems due to radiative corrections enhanced by large…

High Energy Physics - Phenomenology · Physics 2015-07-21 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

We derive the asymptotic traveling-wave solutions of the nonlinear 1-dimensional Balitsky-Kovchegov QCD equation for rapidity evolution in momentum-space, with 1-loop running coupling constant and equipped with the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Peschanski , S. Sapeta

We derive a general expression for the threshold resummation of transverse momentum distributions for processes with a colorless final state, by suitably generalizing the renormalization-group based approach to threshold resummation…

High Energy Physics - Phenomenology · Physics 2021-09-15 Stefano Forte , Giovanni Ridolfi , Simone Rota

Linear and non-linear QCD evolutions at high energy suffer from severe issues related to convergence, due to higher order corrections enhanced by large double and single transverse logarithms. We resum double logarithms to all orders by…

High Energy Physics - Phenomenology · Physics 2015-09-29 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

In this proceeding we consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. At small transverse momentum the logarithmically-enhanced contributions can be organized to all perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-21 Leandro Cieri

The high-energy evolution of Wilson line operators, which at leading order is described by the Balitsky-JIMWLK equations, receives large radiative corrections enhanced by single and double collinear logarithms at next-to-leading order and…

High Energy Physics - Phenomenology · Physics 2016-09-21 Yoshitaka Hatta , Edmond Iancu

Non-global logarithms arise from the sensitivity of collider observables to soft radiation in limited angular regions of phase space. Their resummation to next-to-leading logarithmic (NLL) order has been a long standing problem and its…

High Energy Physics - Phenomenology · Physics 2021-10-05 Andrea Banfi , Frédéric A. Dreyer , Pier Francesco Monni

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