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In the context of high-energy particle physics, a reliable theory-experiment confrontation requires precise theoretical predictions. This translates into accessing higher-perturbative orders, and when we pursue this objective, we inevitably…

High Energy Physics - Phenomenology · Physics 2024-09-12 German Sborlini

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully…

High Energy Physics - Theory · Physics 2023-01-04 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev

In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered…

High Energy Physics - Phenomenology · Physics 2024-03-19 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

The analytic behavior of the heavy-light meson form factor is investigated using several relativistic examples including unconfined, weakly confined, and strongly confined mesons. It is observed that confinement erases the anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. G. Olsson

We revisit the familiar construction of one-loop scattering amplitudes via generalized unitarity in light of the recently understood properties of loop integrands prior to their integration. We show how in any four-dimensional quantum field…

High Energy Physics - Theory · Physics 2013-03-21 Jacob L. Bourjaily , Simon Caron-Huot , Jaroslav Trnka

The discovery of colour-kinematic duality has led to significant progress in the computation of scattering amplitudes in quantum field theories. At tree level, the origin of the duality can be traced back to the monodromies of open-string…

High Energy Physics - Theory · Physics 2017-10-17 Alexander Ochirov , Piotr Tourkine , Pierre Vanhove

The conjectured duality relating all-loop leading singularities of n-particle N^(k-2)MHV scattering amplitudes in N=4 SYM to a simple contour integral over the Grassmannian G(k,n) makes all the symmetries of the theory manifest. Every…

High Energy Physics - Theory · Physics 2011-01-17 Nima Arkani-Hamed , Jacob Bourjaily , Freddy Cachazo , Jaroslav Trnka

We initiate a study of non-supersymmetric Born-Infeld electrodynamics in 4d at the quantum level. Explicit all-multiplicity expressions are calculated for the purely rational one-loop amplitudes in the self-dual ($++\ldots+$) and…

High Energy Physics - Theory · Physics 2020-03-18 Henriette Elvang , Marios Hadjiantonis , Callum R. T. Jones , Shruti Paranjape

The soft radiation emitted in jet cross sections can resolve the directions and colors of individual hard partons, leading to a complicated pattern of logarithmically enhanced terms in the perturbative series. Starting from a factorization…

High Energy Physics - Phenomenology · Physics 2022-09-07 Thomas Becher , Thomas Rauh , Xiaofeng Xu

We calculate the threshold singularities in one-dimensional models using the universal low-energy formfactors obtained in the framework of the non-linear Luttinger liquid model. We find the reason why the simplified picture of the impurity…

Mathematical Physics · Physics 2016-08-03 A. A. Ovchinnikov

We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. An arbitrary-spin formalism is generally…

High Energy Physics - Theory · Physics 2021-09-22 Zvi Bern , Andres Luna , Radu Roiban , Chia-Hsien Shen , Mao Zeng

Colour-kinematics duality is the conjecture of a group theory-like structure for the kinematic dependence of scattering amplitudes in gauge theory and gravity. This structure has been verified at tree level in various ways, but similar…

High Energy Physics - Theory · Physics 2013-07-18 Rutger H. Boels , Reinke Sven Isermann , Ricardo Monteiro , Donal O'Connell

We study the perturbative unitarity of scattering amplitudes in general dimensional reductions of Yang-Mills theories and general relativity on closed internal manifolds. For the tree amplitudes of the dimensionally reduced theory to have…

High Energy Physics - Theory · Physics 2020-07-21 James Bonifacio , Kurt Hinterbichler

Throughout this thesis, we investigate how effective field theories, combined with unitarization techniques, can be used to explore physics beyond the Standard Model, with particular emphasis on the dynamical origin of electroweak symmetry…

High Energy Physics - Phenomenology · Physics 2025-11-18 I. Asiáin

Loop Tree Duality (LTD) offers a promising avenue to numerically integrate multi-loop integrals directly in momentum space. It is well-established at one loop, but there have been only sparse numerical results at two loops. We provide a…

High Energy Physics - Phenomenology · Physics 2019-10-16 Zeno Capatti , Valentin Hirschi , Dario Kermanschah , Ben Ruijl

In this article, we study the triple-collinear limit of scattering amplitudes, focusing the discussion in processes which include at least one photon. To deal with infrared divergences we applied dimensional regularization (DREG) and we…

High Energy Physics - Phenomenology · Physics 2014-10-08 German F. R. Sborlini

We use the antenna subtraction method to isolate the double virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In previous papers, we derived the subtraction terms that rendered (a) the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Aude Gehrmann-De Ridder , Thomas Gehrmann , E. W. N. Glover , Joao Pires

Unveiling hidden symmetries within Feynman diagrams is crucial for achieving more efficient computations in high-energy physics. In this paper, we study the symmetries underlying the causal Loop-Tree Duality (LTD) representations through a…

High Energy Physics - Theory · Physics 2025-05-12 Irene Lopez Imaz , German Sborlini

The massless QCD Lagrangian is conformally invariant and, as a consequence, so are the tree-level scattering amplitudes. However, the implications of this powerful symmetry at loop level are only beginning to be explored systematically.…

High Energy Physics - Theory · Physics 2020-03-18 Johannes Henn , Bláithín Power , Simone Zoia

Threshold amplitudes are considered for $n$-particle production in arbitrary scalar theory. It is found that, like in $\phi ^4$, leading-$n$ corrections to the tree level amplitudes, being summed over all loops, exponentiate. This result…

High Energy Physics - Theory · Physics 2015-06-26 M. V. Libanov
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