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We develop two approaches to the problem of soft fragmentation of hadrons in a gauge theory for high energy processes. The first approach directly adapts the standard resummation of the parton distribution function's anomalous dimension…

高能物理 - 唯象学 · 物理学 2020-07-15 Duff Neill , Felix Ringer

Soft-operators, loosely speaking, are operators which create or annihilate zero energy massless particles on the celestial sphere in Minkowski space. The Lorentz group acts on the celestial sphere by conformal transformation and the…

高能物理 - 理论 · 物理学 2020-05-20 Shamik Banerjee , Pranjal Pandey , Partha Paul

Multi-collinear factorization limits provide a window to study how locality and unitarity of scattering amplitudes can emerge dynamically from celestial CFT, the conjectured holographic dual to gauge and gravitational theories in flat…

高能物理 - 理论 · 物理学 2021-03-05 Stephen Ebert , Atul Sharma , Diandian Wang

The appearance of a light composite $0^+$ scalar resonance in nearly conformal gauge-fermion theories motivates further study of the low energy structure of these theories. To this end, we present a nonperturbative lattice calculation of…

We compute the operator product expansions of gluons and gravitons in celestial CFT from the worldsheet OPE of vertex operators of four-dimensional ambitwistor string theories. Remarkably, the worldsheet OPE localizes on the short-distance…

高能物理 - 理论 · 物理学 2022-06-29 Tim Adamo , Wei Bu , Eduardo Casali , Atul Sharma

We provide dramatic evidence that `Mellin space' is the natural home for correlation functions in CFTs with weakly coupled bulk duals. In Mellin space, CFT correlators have poles corresponding to an OPE decomposition into `left' and `right'…

高能物理 - 理论 · 物理学 2015-03-19 A. Liam Fitzpatrick , Jared Kaplan , Joao Penedones , Suvrat Raju , Balt C. van Rees

Assuming the existence of crossing symmetric celestial OPE, we propose a method to reconstruct four-point massless scattering amplitudes in the framework of celestial holography. This method relies only on CFT techniques and a remarkable…

高能物理 - 理论 · 物理学 2025-03-28 Reiko Liu , Wen-Jie Ma

In this letter, we construct the recursion relations for one-loop planar integrands in the SU(N) non-linear sigma model. This generalizes the soft recursions for tree-level amplitudes in a variety of quantum field theories with special soft…

高能物理 - 理论 · 物理学 2022-06-13 Christoph Bartsch , Karol Kampf , Jaroslav Trnka

We present a universal treatment for imposing superconformal constraints on Mellin amplitudes for $\mathrm{SCFT_d}$ with $3\leq d\leq 6$. This leads to a new technique to compute holographic correlators, which is similar but complementary…

高能物理 - 理论 · 物理学 2018-09-26 Xinan Zhou

We determine tree level, all-order celestial operator product expansions (OPEs) of gluons and gravitons in the maximally helicity violating (MHV) sector. We start by obtaining the all-order collinear expansions of MHV amplitudes using the…

高能物理 - 理论 · 物理学 2023-10-17 Lecheng Ren , Anders Schreiber , Atul Sharma , Diandian Wang

Celestial amplitudes provide holographic imprints of four-dimensional scattering processes in terms of conformal correlation functions on a two-dimensional sphere describing Minkowski space at null infinity. We construct the generators of…

高能物理 - 理论 · 物理学 2019-05-22 Stephan Stieberger , Tomasz R. Taylor

Soft theorems describe the behavior of scattering amplitudes when one or several external particles are taken to be energetically soft. In tree-level gravity there are universal soft theorems for the three leading orders in the soft…

高能物理 - 理论 · 物理学 2025-04-24 Eivind Jørstad , Sruthi A. Narayanan

We investigate scalar-tensor theories where matter couples to the scalar field via a kinetically dependent conformal coupling. These models can be seen as the low-energy description of invariant field theories under a global Abelian…

宇宙学与河外天体物理 · 物理学 2020-01-29 Philippe Brax , Patrick Valageas

We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave…

高能物理 - 理论 · 物理学 2018-07-24 Miguel S. Costa , Vasco Goncalves , Joao Penedones

We present a novel approach to classify supersymmetric effective field theories (EFTs) whose scattering amplitudes exhibit enhanced soft limits. These enhancements arise due to non-linearly realised symmetries on the Goldstone modes of such…

高能物理 - 理论 · 物理学 2020-01-08 Diederik Roest , David Stefanyszyn , Pelle Werkman

We study in detail the general structure and further properties of the tree-level amplitudes in the SU(N) nonlinear sigma model. We construct the flavor-ordered Feynman rules for various parameterizations of the SU(N) fields U(x), write…

高能物理 - 理论 · 物理学 2015-06-15 Karol Kampf , Jiri Novotny , Jaroslav Trnka

Radiative corrections to high energy scattering processes were given previously in terms of universal soft and collinear functions. This paper gives the collinear functions for all standard model particles, the general form of the soft…

高能物理 - 唯象学 · 物理学 2010-04-06 Jui-yu Chiu , Andreas Fuhrer , Randall Kelley , Aneesh V. Manohar

We systematically derive the consistency relations associated to the non-linearly realized symmetries of theories with spontaneously broken conformal symmetry but with a linearly-realized de Sitter subalgebra. These identities relate…

高能物理 - 理论 · 物理学 2013-04-12 Paolo Creminelli , Austin Joyce , Justin Khoury , Marko Simonović

We extend the celestial Roiban-Spradlin-Volovich-Witten (RSVW) formalism developed in our previous work to minitwistor superspace. Using the Drummond-Henn formula for all tree-level amplitudes in N=4 supersymmetric Yang-Mills (SYM) theory,…

高能物理 - 理论 · 物理学 2026-05-26 Igor Mol

The Goldstone equivalence theorem allows one to relate scattering amplitudes of massive gauge fields to those of scalar fields in the limit of large scattering energies. We generalize this theorem under the framework of the AdS/CFT…

高能物理 - 理论 · 物理学 2015-08-05 Nikhil Anand , Sean Cantrell