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The dispersion relation of an elastic 4-point amplitude in the forward direction leads to a sum rule that connects the low energy amplitude to the high energy observables. We perform a classification of these sum rules based on massless…

High Energy Physics - Phenomenology · Physics 2021-03-31 Jiayin Gu , Lian-Tao Wang

I describe a method for determining the coefficients of scalar integrals for one-loop amplitudes in quantum field theory. The method is based upon generalized unitarity and the behavior of amplitudes when the free parameters of the cut…

High Energy Physics - Phenomenology · Physics 2008-05-12 William B. Kilgore

We calculate gauge theory one-loop amplitudes with the aid of the complex shift used in the Britto-Cachazo-Feng-Witten (BCFW) recursion relations of tree amplitudes. We apply the shift to the integrand and show that the contribution from…

High Energy Physics - Theory · Physics 2013-05-30 Savan Kharel , George Siopsis

We provide a compact and unified treatment of power spectrum observables for the effective field theory (EFT) of inflation with the complete set of operators that lead to second-order equations of motion in metric perturbations in both…

High Energy Physics - Theory · Physics 2019-01-15 Hayato Motohashi , Wayne Hu

If the Standard Model is understood as the first term of an effective field theory, the anomaly-cancellation conditions have to be worked out and fulfilled order by order in the effective field-theory expansion. We bring attention to this…

High Energy Physics - Phenomenology · Physics 2020-11-20 Oscar Cata , Wolfgang Kilian , Nils Kreher

We give a complete analytical computation of three-point one-loop integrals with one heavy propagator, up to the third tensor rank, for arbitrary values of external momenta and masses.

High Energy Physics - Phenomenology · Physics 2008-11-26 Antonio O. Bouzas , Ruben Flores-Mendieta

We present an analytic technique for evaluating single cuts for one-loop integrands, where exactly one propagator is taken to be on shell. Our method extends the double-cut integration formalism of one-loop amplitudes to the single-cut…

High Energy Physics - Theory · Physics 2011-02-03 Ruth Britto , Edoardo Mirabella

We use the one loop vacuum polarization induced by scalar quantum electrodynamics to compute the electric and magnetic fields of point charges and magnetic dipoles on a locally de Sitter background. Our results are consistent with the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 H. Degueldre , R. P. Woodard

In this work, we systematically study the differential systems governing loop-level wavefunction coefficients of conformally-coupled scalar field theory within a general power-law FRW cosmology. By utilizing the twisted cohomology,…

High Energy Physics - Theory · Physics 2025-09-30 Yanfeng Hang , Cong Shen

Using the superfield formalism, we propose a non-local extension of the supersymmetric gauge theory coupled to massless chiral matter. Two different non-local models are considered. For these models, we explicitly calculate the one-loop…

High Energy Physics - Theory · Physics 2017-11-15 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

Effective field theories (EFTs) provide an excellent framework for the search of heavy physics beyond the Standard Model, using the so-called bottom-up and top-down approaches. However, the vastness of possible UV scenarios makes the…

High Energy Physics - Phenomenology · Physics 2026-04-24 Guilherme Guedes , Pablo Olgoso

In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the…

High Energy Physics - Theory · Physics 2018-02-14 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , T. Štemberga

In this paper we evaluate the self-energy of the vector mesons at one loop in our recently proposed subtraction scheme for massive nonlinearly realized SU(2) Yang-Mills theory. We check the fulfillment of physical unitarity. The resulting…

High Energy Physics - Theory · Physics 2012-05-24 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

Recent work revealed a tension between the Gross-Mende analysis of the high-energy fixed-angle behavior of string amplitudes and the explicit numerical data. Motivated by this puzzle, we revisit the problem of classifying saddle-point…

High Energy Physics - Theory · Physics 2026-04-29 Marco Maria Baccianti , Lorenz Eberhardt , Sebastian Mizera

We use modern dimensionally-reduced effective field theory methods, with careful attention to scale hierarchies, to analyze and catalog the types of first-order electroweak phase transitions that are possible in the Standard Model Effective…

High Energy Physics - Phenomenology · Physics 2025-12-01 Eliel Camargo-Molina , Rikard Enberg , Johan Löfgren

The generic supersymmetric standard model is a model built from a supersymmetrized standard model field spectrum the gauge symmetries only. The popular minimal supersymmetric standard model differs from the generic version in having…

High Energy Physics - Phenomenology · Physics 2009-11-07 Otto C. W. Kong

We introduce a new technique to generate scattering amplitudes at one loop. Traditional tree algorithms, which handle diagrams with fixed momenta, are promoted to generators of loop-momentum polynomials that we call open loops. Combining…

High Energy Physics - Phenomenology · Physics 2013-05-30 Fabio Cascioli , Philipp Maierhöfer , Stefano Pozzorini

The one-loop effective potential in $2D$ dilaton gravity in conformal gauge on the topologically non-trivial plane $\reals \times S^1$ and on the hyperbolic plane $H^2/\Gamma$ is calculated. For arbitrary choice of the tree scalar potential…

High Energy Physics - Theory · Physics 2009-09-17 Klaus Kirsten , Sergei Odintsov

In this paper we present the complete one-loop matching conditions, up to dimension-six operators of the Standard Model effective field theory, resulting by integrating out the two scalar leptoquarks $S_{1}$ and $S_{3}$. This allows a…

High Energy Physics - Phenomenology · Physics 2021-11-17 Valerio Gherardi , David Marzocca , Elena Venturini

We study the bispectrum in the Effective Field Theory of Large Scale Structure, consistently accounting for the effects of short-scale dynamics. We begin by proving that, as long as the theory is perturbative, it can be formulated to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Tobias Baldauf , Lorenzo Mercolli , Mehrdad Mirbabayi , Enrico Pajer
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