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This chapter reviews the construction of ``soft-collinear gravity'', the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power…

High Energy Physics - Theory · Physics 2022-10-20 Martin Beneke , Patrick Hager , Robert Szafron

We consider the generalization of the "spinor approach" to the Lorentzian case, in the context of 3d loop quantum gravity with cosmological constant $\Lambda=0$. The key technical tool that allows this generalization is the recoupling…

General Relativity and Quantum Cosmology · Physics 2015-12-23 Florian Girelli , Giuseppe Sellaroli

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

Recently, a new construction for complete loop integrands of massless field theories has been proposed, with on-shell tree-level amplitudes delicately incorporated into its algorithm. This new approach reinterprets integrands in a novel…

High Energy Physics - Theory · Physics 2016-04-28 Rijun Huang , Qingjun Jin , Junjie Rao , Kang Zhou , Bo Feng

Soft behaviour of closed string amplitudes involving dilatons, gravitons and anti-symmetric tensors, is studied in the framework of bosonic string theory. The leading double soft limit of gluons is analysed as well, starting from scattering…

High Energy Physics - Theory · Physics 2016-11-03 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

Cosmological soft theorems (or consistency relations) provide a powerful probe for the physics of inflation. These relations rely on minimal assumptions and hold very generally. Consequently, any violation of these relations would rule out…

High Energy Physics - Theory · Physics 2026-04-14 Farman Ullah

We derive a new kind of recursion relation to obtain the one-particle-irreducible (1PI) Feynman diagrams for the effective action. By using this method, we have obtained the graphical representation of the four-loop effective action in case…

High Energy Physics - Theory · Physics 2008-11-26 Chungku Kim

We define recursion relations for N = 8 supergravity amplitudes using a generalization of the on-shell diagrams developed for planar N = 4 super-Yang-Mills. Although the recursion relations generically give rise to non-planar on-shell…

High Energy Physics - Theory · Physics 2016-06-29 Paul Heslop , Arthur E. Lipstein

We consider $U(N)$ $\mathcal N=4$ super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $\frac{1}{2}$-BPS Wilson loop. Our approach is based on a suitable saddle…

High Energy Physics - Theory · Physics 2021-05-12 Matteo Beccaria , Azeem Hasan

We consider on-shell recursion relations for all Born QCD amplitudes. This includes amplitudes with several pairs of quarks and massive quarks. We give a detailed description on how to shift the external particles in spinor space and…

High Energy Physics - Phenomenology · Physics 2010-10-27 Christian Schwinn , Stefan Weinzierl

We consider the resummation of soft-gluon emission in the transverse-momentum distribution of vector mesons in hadronic collisions. We find that the resummed expression in the impact-parameter formulation has an expansion in $\as$ with…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Frixione , P. Nason , G. Ridolfi

We discuss constraints imposed by soft limits for effective field theories arising from symmetry breaking. In particular, we consider those associated with anomalous conformal symmetry as well as duality symmetries in supergravity. We…

High Energy Physics - Theory · Physics 2016-01-27 Yu-tin Huang , Congkao Wen

Though the one-loop amplitudes of the Higgs boson to massless gauge bosons are finite because there is no direct interaction at tree-level in the Standard Model, a well-defined regularization scheme is still required for their correct…

High Energy Physics - Phenomenology · Physics 2018-03-22 Felix Driencourt-Mangin , German Rodrigo , German F. R. Sborlini

We discuss recursion relations for scattering amplitudes with massive particles of any spin. They are derived via a two-parameter shift of momenta, combining a BCFW-type spinor shift with the soft limit of a massless particle involved in…

High Energy Physics - Theory · Physics 2023-01-11 Adam Falkowski , Camila S. Machado

We derive scalar effective field theories - Lagrangians, symmetries, and all - from on-shell scattering amplitudes constructed purely from Lorentz invariance, factorization, a fixed power counting order in derivatives, and a fixed order at…

High Energy Physics - Theory · Physics 2015-06-10 Clifford Cheung , Karol Kampf , Jiri Novotny , Jaroslav Trnka

We demonstrate that there are no scale-invariant one-loop corrections to the superhorizon tensor perturbations from small-scale (potentially enhanced) scalar perturbations, irrespective of the details of inflationary background time…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-25 Yohei Ema , Muzi Hong , Ryusuke Jinno , Kyohei Mukaida

Cachazo and Strominger recently proposed an extension of the soft-graviton theorem found by Weinberg. In addition, they proved the validity of their extension at tree level. This was motivated by a Virasoro symmetry of the gravity S-matrix…

High Energy Physics - Theory · Physics 2014-10-29 Zvi Bern , Scott Davies , Josh Nohle

We present a formalism and detailed analytical results for soft-gluon resummation for $2\rightarrow n$ processes in single-particle-inclusive (1PI) kinematics. This generalizes previous work on resummation for $2 \rightarrow 2$ processes in…

High Energy Physics - Phenomenology · Physics 2020-08-12 Matthew Forslund , Nikolaos Kidonakis

We apply the on-shell tree-level recursion relations of Britto, Cachazo, Feng and Witten to a variety of processes involving internal and external massive particles with spin. We show how to construct multi-vector boson currents where one…

High Energy Physics - Theory · Physics 2009-11-11 S. D. Badger , E. W. N. Glover , Valentin V. Khoze

Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity…

High Energy Physics - Theory · Physics 2022-08-24 Sourav Ballav , Arkajyoti Manna
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