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We study, in the imaginary time formalism, the relation between loops and on-shell forward scattering tree amplitudes in thermal field theories. This allows for an efficient evaluation, at all temperatures, of Green's functions with causal…

High Energy Physics - Theory · Physics 2023-04-24 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon , G. S. S. Sakoda

In this work we present an algebraic approach to the dynamics and perturbation theory at tree-level for gauge theories coupled to matter. The field theories we will consider are: Chern-Simons-Matter, Quantum Chromodynamics, and scalar…

High Energy Physics - Theory · Physics 2022-08-05 Humberto Gomez , Renann Lipinski Jusinskas , Cristhiam Lopez-Arcos , Alexander Quintero Velez

We consider unitarity and causality in a higher-derivative theory of infinite order, where propagators fall off more quickly in the ultraviolet due to the presence of a transcendental entire function of the momentum. Like Lee-Wick theories,…

High Energy Physics - Theory · Physics 2017-03-01 Christopher D. Carone

Investigations for decay of unstable D-brane and rolling of accelerated D-brane dynamics have revealed that various proposed prescriptions give different result for spectral amplitudes and observables. Here, we study them with particular…

High Energy Physics - Theory · Physics 2009-11-11 Yu Nakayama , Soo-Jong Rey , Yuji Sugawara

The decomposition of a one-loop scattering amplitude into elementary functions with rational coefficients introduces spurious singularities which afflict individual coefficients but cancel in the complete amplitude. These cancellations…

High Energy Physics - Theory · Physics 2013-05-29 David C. Dunbar , James H. Ettle , Warren B. Perkins

We show how one-loop corrections to scattering amplitudes of scalars and gauge bosons can be obtained from tree amplitudes in one higher dimension. Starting with a complete tree-level scattering amplitude of n+2 particles in five…

High Energy Physics - Theory · Physics 2016-08-24 Freddy Cachazo , Song He , Ellis Ye Yuan

Quantum gravity coupled to scalar massive matter fields is investigated within the framework of causal perturbation theory. One-loop calculations include matter loop graviton self-energy and matter self-energy and yield ultraviolet finite…

High Energy Physics - Theory · Physics 2009-10-31 Nicola Grillo

The tree-level amplitude for the scattering of two gauge particles constrained to move on the two distinct boundaries of eleven-dimensional space-time in the Horava-Witten formulation of M-theory is constructed. At low momenta this…

High Energy Physics - Theory · Physics 2009-10-31 Tathagata Dasgupta , Matthias R. Gaberdiel , Michael B. Green

We study the UV properties, and derive the explicit form of the one-loop effective action, for a noncommutative complex scalar field theory in 2+1 dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also consider quantum…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , G. A. Moreno

We compute the two-loop massless QCD corrections to the helicity amplitudes for the production of two massive vector bosons in quark-antiquark annihilation, allowing for an arbitrary virtuality of the vector bosons: $q \bar q' \to V_1V_2$.…

High Energy Physics - Phenomenology · Physics 2015-10-28 Thomas Gehrmann , Andreas von Manteuffel , Lorenzo Tancredi

We present an amplitude-generating formula in renormalizable quantum field theory. It reflects the self-similarity of loop amplitudes, in which an amplitude can also be a subamplitude of another. Amplitudes are generated by a small number…

High Energy Physics - Theory · Physics 2025-03-19 Kang-Sin Choi

We present the leading-color two-loop QCD corrections for the scattering of four partons and a $W$ boson, including its leptonic decay. The amplitudes are assembled from the planar two-loop helicity amplitudes for four partons and a vector…

High Energy Physics - Phenomenology · Physics 2022-04-12 S. Abreu , F. Febres Cordero , H. Ita , M. Klinkert , B. Page , V. Sotnikov

In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree…

High Energy Physics - Theory · Physics 2023-03-14 Humberto Gomez , Renann Lipinski Jusinskas , Cristhiam Lopez-Arcos , Alexander Quintero Velez

We review the current status of high-multiplicity double-virtual QCD corrections to processes relevant for LHC phenomenology. In particular, we discuss the recent full-color calculation of the five-parton process, whose two-loop amplitudes…

High Energy Physics - Phenomenology · Physics 2024-06-27 Giuseppe De Laurentis

Based on the dual representation in terms of the recently established eigenfunctions of the evolution kernel in heavy-quark effective theory, we investigate the description of the B-meson light-cone distribution amplitude (LCDA) beyond…

High Energy Physics - Phenomenology · Physics 2014-06-11 Thorsten Feldmann , Bjorn O. Lange , Yu-Ming Wang

We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other,…

High Energy Physics - Theory · Physics 2008-11-26 A. Cucchieri , S. Deser , M. Porrati

Higher-order effects of CPT and Lorentz violation within the SME effective framework including Myers-Pospelov dimension-five operator terms are studied. The model is canonically quantized by giving special attention to the arising of…

High Energy Physics - Theory · Physics 2022-11-23 Justo Lopez-Sarrion , Carlos M. Reyes , Cesar Riquelme

The construction of amplitudes on curved space-times is a major challenge, particularly when the background has non-constant curvature. We give formulae for all tree-level graviton scattering amplitudes in curved self-dual radiative…

High Energy Physics - Theory · Physics 2023-05-11 Tim Adamo , Lionel Mason , Atul Sharma

Various examples of target space duality transformations are investigated up to two loop order in perturbation theory. Our results show that when using the tree level (`naive') transformation rules the dual theories are in general {\it…

High Energy Physics - Theory · Physics 2009-10-30 J. Balog , P. Forgács , Z. Horváth , L. Palla

This article reviews on-shell methods for analytic computation of loop amplitudes, emphasizing techniques based on unitarity cuts. Unitarity techniques are formulated generally but have been especially useful for calculating one-loop…

High Energy Physics - Theory · Physics 2015-05-20 Ruth Britto