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Using the CHY-formalism and its extension to a double cover we provide covariant expressions for tree-level amplitudes with two massive scalar legs and an arbitrary number of gravitons in D dimensions. Using unitarity methods, such…

高能物理 - 理论 · 物理学 2020-01-29 N. E. J. Bjerrum-Bohr , Andrea Cristofoli , Poul H. Damgaard , Humberto Gomez

Tree-level scattering amplitudes for a scalar particle coupled to an arbitrary number N of photons and a single graviton are computed. We employ the worldline formalism as the main tool to compute the irreducible part of the amplitude,…

高能物理 - 理论 · 物理学 2020-08-04 Naser Ahmadiniaz , Filippo Maria Balli , Olindo Corradini , José Manuel Dávila , Christian Schubert

Tree-level scattering amplitudes for gravitons, gluons and Goldstone particles in any dimensions are strongly constrained by basic principles, and they are intimately related to each other via various relations. We study two types of…

高能物理 - 理论 · 物理学 2022-05-25 Jin Dong , Song He , Linghui Hou

We compute two infinite series of tree-level amplitudes with a massive scalar pair and an arbitrary number of gluons. We provide results for amplitudes where all gluons have identical helicity, and amplitudes with one gluon of opposite…

高能物理 - 理论 · 物理学 2009-11-11 Darren Forde , David A. Kosower

We outline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multi-graviton two-body on-shell scattering amplitudes between…

高能物理 - 理论 · 物理学 2018-10-31 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Guido Festuccia , Ludovic Planté , Pierre Vanhove

Techniques based upon the string organisation of amplitudes may be used to simplify field theory calculations. We apply these techniques to perturbative gravity and calculate all one-loop amplitudes for four-graviton scattering with…

高能物理 - 理论 · 物理学 2009-10-28 David C. Dunbar , Paul S. Norridge

In this letter we derive new expressions for tree-level graviton amplitudes in $\mathcal{N}=8$ supergravity from BCFW recursion relations combined with new types of bonus relations. These bonus relations go beyond the famous $1/z^2$…

高能物理 - 理论 · 物理学 2023-09-13 Shruti Paranjape , Jaroslav Trnka

We describe the computation of post-Minkowskian Hamiltonians in General Relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes of massive scalars coupled to gravity to the…

高能物理 - 理论 · 物理学 2019-10-23 Andrea Cristofoli , N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Pierre Vanhove

The effective action includes all quantum corrections arising in a given quantum field theory. Thus it serves as a powerful generating functional from which quantum-corrected scattering amplitudes can be constructed via tree-level…

高能物理 - 理论 · 物理学 2022-05-05 Benjamin Knorr , Samuel Pirlo , Chris Ripken , Frank Saueressig

We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions. We write down analytic answers for various scattering…

高能物理 - 理论 · 物理学 2021-11-23 Mahesh KN Balasubramanian , Raj Patil , Arnab Rudra

We report on the status of an ongoing effort to calculate the complete one-loop low-energy effective actions in Einstein-Maxwell theory with a massive scalar or spinor loop, and to use them for obtaining the explicit form of the…

高能物理 - 理论 · 物理学 2015-06-04 F. Bastianelli , O. Corradini , J. M. Davila , C. Schubert

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the…

高能物理 - 理论 · 物理学 2023-10-03 Adam Ball , Shounak De , Akshay Yelleshpur Srikant , Anastasia Volovich

We use on-shell methods to calculate tree-level effective field theory (EFT) amplitudes, with no reference to the EFT operators. Lorentz symmetry, unitarity and Bose statistics determine the allowed kinematical structures. As a by-product,…

高能物理 - 唯象学 · 物理学 2019-03-27 Yael Shadmi , Yaniv Weiss

We calculate graviton multi-point amplitudes in an anti-de Sitter black brane background for higher-derivative gravity of arbitrary order in numbers of derivatives. The calculations are performed using tensor graviton modes in a particular…

高能物理 - 理论 · 物理学 2018-04-11 M. M. W. Shawa , A. J. M. Medved

We provide a new efficient diagrammatic tool, in the context of the scattering equations, for computation of covariant $D$-dimensional tree-level $n$-point amplitudes with pairs of spinning massive particles using compact exponential…

高能物理 - 理论 · 物理学 2021-05-12 N. Emil J. Bjerrum-Bohr , Taro V. Brown , Humberto Gomez

The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge theories and gravity, but only hold if some amplitudes vanish when two of the momenta are taken to infinity in a particular complex direction. This is a…

高能物理 - 理论 · 物理学 2014-11-18 Nima Arkani-Hamed , Jared Kaplan

We demonstrate that the tree level amplitudes and the explicit formulas of soft factors can be uniquely determined by soft theorems and the universality of soft factors. By imposing the soft theorems and the universality, as well as the…

高能物理 - 理论 · 物理学 2026-05-05 Kang Zhou

We utilize various computational techniques in flat and curved backgrounds to calculate the classical gravitational Compton amplitude up to the second post-Minkowskian order. Our novel result supports the use of worldline quantum field…

高能物理 - 理论 · 物理学 2025-11-03 N. Emil J. Bjerrum-Bohr , Gang Chen , Carl Jordan Eriksen , Nabha Shah

We introduce a covariant Multipole Expansion for the scattering of a massive particle emitting photons or gravitons in $D$ dimensions. We find that these amplitudes exhibit very powerful features such as universality, soft exponentiation,…

高能物理 - 理论 · 物理学 2019-06-17 Yilber Fabian Bautista , Alfredo Guevara

We apply the matrix-tree theorem to establish a link between various diagrammatic and determinant expressions, which naturally appear in scattering amplitudes of gravity theories. Using this link we are able to give a general…

高能物理 - 理论 · 物理学 2015-06-05 Bo Feng , Song He
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