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We give a simple prescription for computing, in the framework of the bosonic string theory, off-shell one-loop amplitudes with any number of external massless particles, both for the open and for the closed string. We discuss their…

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

We summarize recent progress in applying the worldline formalism to the analytic calculation of one-loop N-point amplitudes. This string-inspired approach is well-adapted to avoiding some of the calculational inefficiencies of the standard…

High Energy Physics - Theory · Physics 2022-05-18 James P. Edwards , C. Moctezuma Mata , Christian Schubert

Following the idea of Refs.[1,2], the double-copy-like decomposition of exchanged internal states in the world-line limit of one-loop string amplitudes is systematically formulated and generalized to both bosonic and heterotic string…

High Energy Physics - Theory · Physics 2026-02-03 Yao Li

We compare four different methods for the numerical computation of the pure gluonic amplitudes in the Born approximation. We are in particular interested in the efficiency of the various methods as the number n of the external particles…

High Energy Physics - Phenomenology · Physics 2009-11-11 Michael Dinsdale , Marko Ternick , Stefan Weinzierl

In the calculation of cross sections for infrared-safe observables in high energy collisions at next-to-leading order, one approach is to perform all of the integrations, including the virtual loop integration numerically. One would use a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zoltan Nagy , Davison E. Soper

A numerical program is presented which facilitates the computation of the full set of one-gluon loop diagrams (including ghost loop contributions), with M attached external gluon lines in all possible ways. The feasibility of such a task…

High Energy Physics - Theory · Physics 2007-05-23 A. S. Kapoyannis , A. I. Karanikas , C. N. Ktorides

We propose a systematic way to carry out the method introduced in hep-th/0410077 for computing certain unitarity cuts of one-loop N=4 amplitudes of gluons. We observe that the class of cuts for which the method works involves all…

High Energy Physics - Theory · Physics 2009-11-10 Ruth Britto , Freddy Cachazo , Bo Feng

One-loop calculations in quantum gravity coupled to U(1)-Abelian fields (photon fields) are ultraviolet finite and cutoff-free in the framework of causal perturbation theory. We compute the photon loop correction to the graviton propagator…

High Energy Physics - Theory · Physics 2007-05-23 Nicola Grillo

It has been known for many years that methods inspired by string theory, such as the worldline formalism, allow one to write down integral representations that combine large numbers of Feynman diagrams of different topologies. However, to…

A method is developed whereby spinor helicity techniques can be used to simplify the calculation of loop amplitudes. This is achieved by using the Feynman-parameter representation where the offending off-shell loop momenta do not appear.…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. S. Lam

We explicitly evaluate one-loop (annulus) planar and nonplanar open string amplitudes in the presence of the background NS-NS two-form field. In the decoupling limit of Seiberg and Witten, we find that the nonplanar string amplitudes…

High Energy Physics - Theory · Physics 2008-11-26 Youngjai Kiem , Sangmin Lee

The spin-incoherent regime of one-dimensional electrons has recently been explored using the Bethe ansatz and a bosonized path integral approach, revealing that the spin incoherence dramatically influences the correlations of charge…

Strongly Correlated Electrons · Physics 2007-10-23 Paata Kakashvili , Henrik Johannesson

We apply an earlier formulated programme for quantization of nonabelian gauge theories to one-flavour chromodynamics. This programme consists in a complete reformulation of the functional integral in terms of gauge invariant quantities. For…

High Energy Physics - Theory · Physics 2007-05-23 J. Kijowski , G. Rudolph , M. Rudolph

Tree-level scattering amplitudes for a scalar particle coupled to an arbitrary number N of photons and a single graviton are computed. We employ the worldline formalism as the main tool to compute the irreducible part of the amplitude,…

High Energy Physics - Theory · Physics 2020-08-04 Naser Ahmadiniaz , Filippo Maria Balli , Olindo Corradini , José Manuel Dávila , Christian Schubert

Spins in semiconductor quantum dots are promising local quantum memories to generate polarization-encoded photonic cluster states, as proposed in the pioneering Rudolph-Lindner scheme [1]. However, harnessing the polarization degree of…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 N. Coste , M. Gundin , D. Fioretto , S. E. Thomas , C. Millet , E. Medhi , M. Gundin , N. Somaschi , M. Morassi , M. Pont , A. Lemaitre , N. Belabas , O. Krebs , L. Lanco , P. Senellart

Gravitational waves (GWs) provide a unique opportunity to test General Relativity (GR) in the highly dynamical, strong-field regime. So far, the majority of the tests of GR with GW signals have been carried out following parametrized,…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Félix-Louis Julié , Lorenzo Pompili , Alessandra Buonanno

The naive double-copy of (multi) loop amplitudes involving massive matter coupled to gauge theories will generically produce amplitudes in a gravitational theory that contains additional contributions from propagating antisymmetric tensor…

High Energy Physics - Theory · Physics 2021-12-01 John Joseph M. Carrasco , Ingrid A. Vazquez-Holm

Extending the argument of Ref.\citen{[4]} to the long-range spectral statistics of classically integrable quantum systems, we examine the level number variance, spectral rigidity and two-level cluster function. These observables are…

Chaotic Dynamics · Physics 2009-11-11 H. Makino , S. Tasaki

One-loop scattering amplitudes in string theories involve configuration-space integrals over genus-one surfaces with coefficients of Kronecker-Eisenstein series in the integrand. A conjectural genus-one basis of integrands under Fay…

High Energy Physics - Theory · Physics 2024-05-28 Carlos Rodriguez , Oliver Schlotterer , Yong Zhang

We present the one-loop helicity amplitudes with five external gluons. The computation employs string-based methods, new techniques for performing tensor integrals, and improvements in the spinor helicity method.

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower