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Related papers: Note on Permutation Sum of Color-ordered Gluon Amp…

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We consider a local, renormalizable, BRST-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields. It possess a non-perturbative vacuum that spontaneously breaks BRST-invariance. The vacuum condition…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniel Zwanziger

Exact large-$N_{f}$ results for the QCD Adler $D$-function and Deep Inelastic Scattering sum rules are used to resum to all orders the portion of QCD perturbative coefficients containing the highest power of…

High Energy Physics - Phenomenology · Physics 2011-05-05 C. N. Lovett-Turner , C. J. Maxwell

We are investigating the behavior of the fragmentation function of a gluon, denoted as $ D_{g}(x,\mu^2)$, where $\mu$ represents the observable scale. This function is derived from the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP)…

High Energy Physics - Phenomenology · Physics 2025-09-25 H. S. Nakhaei , G. R. Boroun

Our aim is to show how the reggeization of the gluon, encoded in the bootstrap property of the BFKL kernel, permits to calculate the interaction kernel in the octet colour channel in the forward and non forward direction, for the quark…

High Energy Physics - Phenomenology · Physics 2016-11-23 G. P. Vacca

The Bern-Kosower formalism, developed around 1990 as a novel way of obtaining QCD amplitudes as the limit of infinite string tension of the corresponding string amplitudes, was originally designed as an on-shell formalism. Building on early…

High Energy Physics - Theory · Physics 2018-12-05 Naser Ahmadiniaz , Christian Schubert

In this note, we study A. Beilinson's gluing for perverse sheaves in the case of the diagonal arrangement and its relation to the Grothendieck-Teichm\"uller group. We also explain a relation to the Etingof-Kazhdan quantisation

Algebraic Geometry · Mathematics 2022-11-15 Alexey Kalugin

We study the effect of gluon number fluctuations (Pomeron loops) on deep inelastic scattering (DIS) in the fixed coupling case. We find that the description of the DIS data is improved once gluon number fluctuations are included. Also the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Misha Kozlov , Arif Shoshi , Wenchang Xiang

In their Letter [Phys. Rev. Lett. 105, 137402 (2010)], Eisfeld et al. predicted the exchange broadening and blue-shift of the absorption band as well as a nonuniversal disorder scaling of the localization length of excitons in J-aggregates…

Disordered Systems and Neural Networks · Physics 2015-06-11 Agnieszka Werpachowska , Alexandra Olaya-Castro

We bring some clarifications and improvements to the method of dispersion relations in the external masses variables, that we proposed recently for investigating the final state interactions in the B nonleptonic decays. We first present…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. Caprini , L. Micu , C. Bourrely

We prove two multivariate $q$-binomial identities conjectured by Bousseau, Brini and van Garrel [Geom. Topol. 28 (2024), 393-496, arXiv:2011.08830] which give generating series for Gromov-Witten invariants of two specific log Calabi-Yau…

Classical Analysis and ODEs · Mathematics 2024-10-11 Christian Krattenthaler

In this paper, we derive a simple sum rule satisfied by the gluon spectral function at finite temperature. This sum rule is useful in order to calculate exactly some integrals that appear frequently in the photon or dilepton production rate…

High Energy Physics - Phenomenology · Physics 2011-07-19 P. Aurenche , F. Gelis , H. Zaraket

We introduce a one parameter deformation of Zwegers' multivariable $\mu$-function by applying iterations of the $q$-Borel summation method, which is also a multivariate analogue of the generalized $\mu$-function introduced by the authors.…

Classical Analysis and ODEs · Mathematics 2025-03-18 G. Shibukawa , S. Tsuchimi

We introduce a Wilson line distribution function bar{W}_tau(v) to study gluon saturation at small Feynman x_F, or large tau=ln(1/x_F). This new distribution can be obtained from the distribution W_tau(alpha) of the Color Glass Condensate…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. S. Lam , Gregory Mahlon , Wei Zhu

In the context of gauge-Higgs unification scenario in a 5-dimensional flat spacetime, we investigate Higgs boson production via gluon fusion and its diphoton and Z gamma decay modes at the LHC. We show that the signal strength of the Higgs…

High Energy Physics - Phenomenology · Physics 2013-08-01 Nobuhito Maru , Nobuchika Okada

Berends-Giele currents are fundamental building blocks for on-shell amplitudes in non-abelian gauge theory. We present a novel procedure to construct them using the Bern-Kosower formalism for one-loop gluon amplitudes. Applying the pinch…

Gaussian sum-rules relate a QCD prediction to a two-parameter Gaussian-weighted integral of a hadronic spectral function, providing a clear conceptual connection to quark-hadron duality. In contrast to Laplace sum-rules, the Gaussian…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , D. Harnett , G. Orlandini

We study baryon spectroscopy including the effects of pseudoscalar meson exchange and one gluon exchange potentials between quarks, governed by $\alpha_s$. The non-perturbative, hyperspherical method calculations show that one can obtain a…

Nuclear Theory · Physics 2008-11-26 Z. Dziembowski , M. Fabre de la Ripelle , Gerald A. Miller

Using the QCD dipole picture of the BFKL pomeron, the gluon contribution to the cross-section for single diffractive dissociation in deep-inelastic high-energy scattering is calculated. The resulting contribution to the proton diffractive…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas , R. Peschanski

The recent results of the CLEO Collaboration on both inclusive and exclusive radiative $B$ decays are combined with those of the UA2 Collaboration on $W\gamma$ production to highly constrain the anomalous trilinear gauge couplings of the…

High Energy Physics - Phenomenology · Physics 2009-09-09 T. G. Rizzo

It has been known for a while that there is spontaneous breaking of Lorentz symmetry in the nonzero charged sectors of quantum electrodynamics due to the infrared problem of soft photons. More recently, it has also been suggested that…

High Energy Physics - Theory · Physics 2018-09-19 A. P. Balachandran , V. P. Nair