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We derive a full Bern-Kosower-type rule for scalar QED starting from quantum field theory: we derive a set of rules for calculating $S$-matrix elements for any processes at any order of the coupling constant. Gauge-invariant set of diagrams…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Daikouji , M. Shino , Y. Sumino

In the first-quantised worldline approach to quantum field theory, a long-standing problem has been to extend this formalism to amplitudes involving open fermion lines while maintaining the efficiency of the well-tested closed-loop case. In…

Part I is devoted to the extraction of the QCD coupling from a bound state approach at low energy scales, where unphysical singularities make the RG-improved pQCD useless. Theoretical results on the meson spectrum based on a Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2008-07-10 Claudia Simolo

I describe how the gluon chain model of QCD string formation meets a number of criteria which are required of any theory of the confining force, including: the correct center dependence and (at large-N) Casimir scaling of the string…

High Energy Physics - Lattice · Physics 2007-05-23 J. Greensite

Hadron decay chains constitute one of the main sources of information on the QCD spectrum. We discuss the differences between several partial wave analysis formalisms used in the literature to build the amplitudes. We match the helicity…

In this letter we discuss a regularization scheme for the integration of generic on-shell forms. The basic idea is to extend the three-particle amplitudes to the space of unphysical helicities keeping the dimension of the related coupling…

High Energy Physics - Theory · Physics 2014-12-01 Paolo Benincasa , Eduardo Conde , David Gordo

In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in $\mathcal{N}=4$ SYM with arbitrary number of off-shell gluons or equivalently Wilson line operator insertions. We make a conjecture for…

High Energy Physics - Theory · Physics 2018-02-20 L. V. Bork , A. I. Onishchenko

We prove $k_T$ factorization theorem in perturbative QCD (PQCD) for exclusive processes by considering $\pi\gamma^*\to \gamma(\pi)$ and $B\to\gamma(\pi) l\bar\nu$. The relevant form factors are expressed as the convolution of hard…

High Energy Physics - Phenomenology · Physics 2009-11-07 Makiko Nagashima , Hsiang-nan Li

We calculate tree level scattering amplitudes for open strings using the NSR formalism. We present a streamlined symmetry-based and pedagogical approach to the computations, which we first develop by checking two-, three-, and four-point…

High Energy Physics - Theory · Physics 2016-08-22 Katrin Becker , Melanie Becker , Ilarion V. Melnikov , Daniel Robbins , Andrew B. Royston

The chirality-flow formalism, combined with good choices of gauge reference vectors, simplifies tree-level calculations to the extent that it is often possible to write down amplitudes corresponding to Feynman diagrams immediately. It has…

High Energy Physics - Phenomenology · Physics 2024-02-19 Emil Boman , Andrew Lifson , Malin Sjodahl , Adam Warnerbring , Zenny Wettersten

We study the four-gluon scattering amplitude in the high energy limit of QCD written in terms of its conformal expansion. We highlight the need to include both even and odd conformal spin contributions in order to map it to an iterative…

High Energy Physics - Theory · Physics 2022-08-10 Grigorios Chachamis , Agustín Sabio Vera

We give, in the framework of the bosonic string theory, simple prescriptions for computing, at tree and one-loop levels, off-shell string amplitudes for open and closed string massless states. In particular we obtain a tree amplitude for…

High Energy Physics - Theory · Physics 2014-11-18 L. Cappiello , A. Liccardo , R. Pettorino , F. Pezzella , R. Marotta

Form factors are quantities that involve both asymptotic on-shell states and gauge invariant operators. They provide a natural bridge between on-shell amplitudes and off-shell correlation functions of operators, thus allowing us to use…

High Energy Physics - Theory · Physics 2020-01-13 Gang Yang

We develop a formalism to compute non-perturbative 5-point scattering amplitudes and apply it to gravitational waveforms in the two-body problem for arbitrary trajectories. Drawing inspiration from Feshbach's projector formalism in nuclear…

High Energy Physics - Theory · Physics 2026-04-21 Katsuki Aoki , Andrea Cristofoli

In the context of the bosonic closed string theory, by using the operatorial formalism, we give a simple expression of the off-shell amplitude with an arbitrary number of external massless states inserted on the Klein bottle.

High Energy Physics - Theory · Physics 2009-10-31 L. Cappiello , R. Marotta , R. Pettorino , F. Pezzella

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

Lecture notes on Poincar\'e-invariant scattering amplitudes and tree-level recursion relations in spinor-helicity formalism. We illustrate the non-perturbative constraints imposed over on-shell amplitudes by the Lorentz Little Group, and…

High Energy Physics - Theory · Physics 2017-05-30 Andrea Marzolla

The discovery of pure spinor formalism makes the computation of superstring scattering amplitudes possible. In this paper, we will illustrate how computer algebra system Cadabra is used in computing the supersymmetric amplitude in pure…

High Energy Physics - Theory · Physics 2016-08-17 Ke-Sheng Sun , Xiang-Mao Ding , Fei Sun , Hai-Bin Zhang

Strassler's formulation of the string-derived Bern-Kosower formalism is reconsidered with particular emphasis on effective actions and form factors. Two- and three point form factors in the nonabelian effective action are calculated and…

High Energy Physics - Theory · Physics 2009-10-22 M. G. Schmidt , C. Schubert

We study the canonical quantization of a bosonic string in presence of N twist fields. This generalizes the quantization of the twisted string in two ways: the in and out states are not necessarily twisted and the number of twist fields N…

High Energy Physics - Theory · Physics 2015-06-22 Igor Pesando