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We present the next-to-next-to-leading order (NNLO) contributions to the main splitting functions for the evolution of longitudinally polarized parton densities of hadrons in perturbative QCD. The quark-quark and gluon-quark splitting…

High Energy Physics - Phenomenology · Physics 2015-06-22 S. Moch , J. A. M. Vermaseren , A. Vogt

We rederive the small-$x$ evolution equations governing quark helicity distribution in a proton using solely an operator-based approach. In our previous works on the subject, the evolution equations were derived using a mix of diagrammatic…

High Energy Physics - Phenomenology · Physics 2019-04-03 Yuri V. Kovchegov , Matthew D. Sievert

Padmanabhan (1996) has suggested a model to relate the nonlinear two - point correlation function to the linear two - point correlation function. In this paper, we extend this model in two directions: (1) By averaging over the initial…

Astrophysics · Physics 2015-06-24 Dipak Munshi , T. Padmanabhan

We derive the complete Wilson renormalization group equation which governs the evolution of the gluon distribution and other gluonic observables at low $x$ and arbitrary density.

High Energy Physics - Phenomenology · Physics 2008-11-26 Jamal Jalilian-Marian , Alex Kovner , Heribert Weigert

We study correlation functions in topologically twisted $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory for gauge groups of rank larger than one on compact four-manifolds $X$. We find that the topological invariance of the generator…

High Energy Physics - Theory · Physics 2017-09-07 Marcos Marino , Gregory Moore

In a high-energy scattering process with hadrons in the initial state, color is involved. Transverse momentum dependent distribution functions (TMDs) describe the quark and gluon distributions in these hadrons in momentum space with the…

High Energy Physics - Phenomenology · Physics 2015-06-23 M. G. A. Buffing , A. Mukherjee , P. J. Mulders

Final state medium-induced gluon radiation in ultradense nuclear matter is shown to favor large angle emission when compared to vacuum bremsstrahlung due to the suppression of collinear gluons. In a simple model of momentum transfers from…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ivan Vitev

In this article we will develop some techniques aimed at the strong couplings in two-dimensional wave-Klein-Gordon system. We distinguish the roles of different type of decay factors and develop a method which permits us to "exchange" one…

Analysis of PDEs · Mathematics 2021-04-02 Yue Ma

We study multi-particle production with rapidity correlations in proton-nucleus collisions at high energy in the Color Glass Condensate framework. The high-energy evolution responsible for such correlations is governed by a generalization…

High Energy Physics - Phenomenology · Physics 2015-06-18 E. iancu , D. N. Triantafyllopoulos

By describing strong interactions between hadrons via a relativistic supermultiplet scheme and regarding weak interactions as a perturbation thereof, we derive expressions for nonleptonic weak decay amplitudes in terms of constituent quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 R Delbourgo , Dongsheng Liu

Correlations between the momenta of the final state hadrons measured in proton or nucleus collisions contain information that sheds light on the initial conditions and evolutionary dynamics of the collision system. These correlation…

High Energy Physics - Phenomenology · Physics 2017-10-10 Sener Ozonder

In these lectures, I shall discuss small x physics and the consequences of high gluon density which arises as x decreases. I argue that an understanding of this problem would lead to knowledge of the high energy asymptotics of hadronic…

High Energy Physics - Phenomenology · Physics 2010-12-13 Larry McLerran

This study presents new insights into gluon transverse momentum distributions through nonextensive statistical mechanics, addressing their implications for QCD phenomenology. The saturation physics and scaling laws present in high energy…

High Energy Physics - Phenomenology · Physics 2025-01-10 Lucas Soster Moriggi , Magno Valerio Trindade Machado

We perform a Next-to-Leading order analysis of Delta S=2 processes beyond the Standard Model. Combining the recently computed NLO anomalous dimensions and the B parameters of the most general Delta S=2 effective Hamiltonian, we give an…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciuchini , L. Conti , A. Donini , E. Franco , V. Gimenez , L. Giusti , V. Lubicz , G. Martinelli , A. Masiero , I. Scimemi , L. Silvestrini , M. Talevi , A. Vladikas

We investigate the properties of the 2-point galaxy correlation function at very large scales, including all geometric and local relativistic effects -- wide-angle effects, redshift space distortions, Doppler terms and Sachs-Wolfe type…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-05 Alvise Raccanelli , Daniele Bertacca , Olivier Dore , Roy Maartens

We consider the interaction of the partonic fluctuation of a scalar ``photon'' with an external color field to calculate the leading and next-to-leading order gluon distribution of the proton following the work done by…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. -J. Pirner , A. I. Shoshi , G. Soyez

We show that the Balitsky-JIMWLK equations proposed to describe non-linear evolution in QCD at high energy fail to include the effects of fluctuations in the gluon number, and thus to correctly describe both the low density regime and the…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos

Order $\alpha_s$-corrections to the diffractive structure functions $F_L^D$ and $F_2^D$ at large $Q^2$ and small $x$ are evaluated in the semiclassical approach, where the initial proton is treated as a classical colour field. The…

High Energy Physics - Phenomenology · Physics 2009-02-20 W. Buchmuller , A. Hebecker , M. F. McDermott

In the context of gauge/gravity duality, we verify two types of gauge theory low-energy theorems, the dilation Ward identities and the decoupling of heavy flavor. First, we provide an analytic proof of non-trivial dilation Ward identities…

High Energy Physics - Theory · Physics 2015-03-17 Johanna Erdmenger , A. Gorsky , P. N. Kopnin , A. Krikun , A. V. Zayakin

We investigate the energy dependence of the photo-production cross-section of vector mesons $J/\Psi$ and $\Upsilon$, measured by both HERA experiments H1 and ZEUS in electron-proton collisions and by LHC experiments ALICE, CMS and LHCb in…

High Energy Physics - Phenomenology · Physics 2019-08-12 Martin Hentschinski , Krzysztof Kutak