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We present a program to evaluate tree-level multi-gluon amplitudes with up to two of them off-shell. Furthermore, it evaluates squared amplitudes summed over colors and helicities for up to six external gluons. It employs both analytic…

High Energy Physics - Phenomenology · Physics 2015-06-18 M. Bury , A. van Hameren

We give a general derivation of Ginsparg-Wilson relations for both Dirac and Majorana fermions in any dimension. These relations encode continuous and discrete chiral, parity and time reversal anomalies and will apply to the various classes…

High Energy Physics - Lattice · Physics 2023-10-09 Michael Clancy , David B. Kaplan , Hersh Singh

Pfaffian diagrams are formulated to represent gluon amplitudes computed from the Cachazo-He-Yuan (CHY) formula. They may be regarded as a systematic regrouping of Feynman diagrams after internal momenta are expanded and products of vertex…

High Energy Physics - Theory · Physics 2018-10-10 C. S. Lam

Soft-gluon resummation within the framework of heavy quarkonium hadroproduction is considered. A few selected cases are studied in detail. A sizeable increase of the cross sections with respect to the next-to-leading order predictions with…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matteo Cacciari

We consider the resummation of soft-gluon emission in the transverse-momentum distribution of vector mesons in hadronic collisions. We find that the resummed expression in the impact-parameter formulation has an expansion in $\as$ with…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Frixione , P. Nason , G. Ridolfi

We introduced here the study of a QCD based on a complex group. Our aim is to show that a gauge theory with a complex symmetry develops some of the features required for the description of a confined phase. This theory leads to gluons with…

High Energy Physics - Theory · Physics 2020-05-13 R. L. P. G. Amaral , V. E. R. Lemes , O. S. Ventura , L. C. Q. Vilar

The free energy of a field theory can be considered as a functional of the free correlation function. As such it obeys a nonlinear functional differential equation which can be turned into a recursion relation. This is solved order by order…

High Energy Physics - Theory · Physics 2009-10-31 Hagen Kleinert , Axel Pelster , Boris Kastening , M. Bachmann

We study the application of BCFW recursion relations to the QED processes $0\to e^- e^+ n \gamma$. Based on 6-point amplitudes (both MHVA and NMHVA) computed from Feynman diagrams in the Berends-Giele gauge, we conduct a comprehensive study…

High Energy Physics - Theory · Physics 2022-09-14 Ke Li , Yuxin Liu , Qi-Shu Yan , Xiaoran Zhao

Building on earlier work in the high energy and condensed matter communities, we present a web of dualities in $2+1$ dimensions that generalize the known particle/vortex duality. Some of the dualities relate theories of fermions to theories…

High Energy Physics - Theory · Physics 2016-11-23 Nathan Seiberg , T. Senthil , Chong Wang , Edward Witten

We derive all order soft gluon resummation in dijet azimuthal angular correlation in hadronic collisions at the next-to-leading logarithmic level. The relevant coefficients for the Sudakov resummation factor, the soft and hard factors, are…

High Energy Physics - Phenomenology · Physics 2014-12-10 Peng Sun , C. -P. Yuan , Feng Yuan

The standard Feynman rules used for perturbative calculations in quantum chromodynamics (QCD) are derived from a Lagrangian that is first-order in derivatives. It includes a three-point quark-gluon vertex which obscures the precise…

High Energy Physics - Phenomenology · Physics 2025-03-04 Victor Miguel Banda Guzmán , Adnan Bashir

This manuscript is devoted to introduce a gauge theory of the Lorentz Group based on the ambiguity emerging in dealing with isometric diffeo-morphism-induced Lorentz transformations. The behaviors under local transformations of fermion…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Nakia Carlevaro , Orchidea Maria Lecian , Giovanni Montani

Unification ideas suggest an integral treatment of fermion and boson spin and gauge-group degrees of freedom. Hence, a generalized quantum field equation, based on Dirac's, is proposed and investigated which contains gauge and flavor…

High Energy Physics - Theory · Physics 2007-05-23 J. Besprosvany

In a recent paper [arXiv:1106.0166], boundary contributions in BCFW recursion relations have been related to roots of amplitudes. In this paper, we make several analyses regarding to this problem. Firstly, we use different ways to re-derive…

High Energy Physics - Theory · Physics 2011-11-09 Bo Feng , Yin Jia , Hui Luo , Mingxing Luo

Cachazo-Svrcek-Witten-type Feynman rules for massive matter scalar legs and pure glue loops are presented, obtained by deriving them directly from the space-time action. We comment on the derivation and some sample applications, in…

High Energy Physics - Theory · Physics 2008-11-26 Rutger Boels , Christian Schwinn

We consider two dimensional U(N) QCD on the cylinder with a timelike Wilson line in an arbitrary representation. We show that the theory is equivalent to N fermions with internal degrees of freedom which interact among themselves with a…

High Energy Physics - Theory · Physics 2009-10-22 Joseph A. Minahan , Alexios P. Polychronakos

The investigation of the scalar gluonium correlator is interesting because it carries the quantum numbers of the vacuum and the relevant hadronic current is related to the anomalous trace of the QCD energy-momentum tensor in the chiral…

High Energy Physics - Phenomenology · Physics 2015-06-04 Matthias Jamin

A time-reversal symmetry relation is established for out-of-equilibrium dilute or rarefied gases described by the fluctuating Boltzmann equation. The relation is obtained from the associated coarse-grained master equation ruling the random…

Statistical Mechanics · Physics 2015-06-05 Pierre Gaspard

We analyze the B->KK decays with the soft-gluon corrections by using the QCD light-cone sum rules (LCSR). Although QCD factorization approach calculates the leading order factorization parts and the radiative corrections from hard- gluon…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lin Li , Xiangyao Wu , Tao Huang

QCD evolution equations can be recast in terms of parton branching processes. We present a new numerical solution of the equations. We show that this parton-branching solution can be applied to analyze infrared contributions to evolution,…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik