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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 $1/z^2$…

High Energy Physics - Theory · Physics 2023-09-13 Shruti Paranjape , Jaroslav Trnka

Two new formulas which express n-graviton MHV tree amplitudes in terms of sums of squares of n-gluon amplitudes are discussed. The first formula is derived from recursion relations. The second formula, simpler because it involves fewer…

High Energy Physics - Theory · Physics 2009-06-19 Henriette Elvang , Daniel Z. Freedman

We carry out the first step of a program conceived, in order to build a realistic model, having the particle spectrum of the standard model and renormalized masses, interaction terms and couplings, etc. which include the class of quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Akhundov , S. Bellucci , A. Shiekh

We construct all supergravity theories that can be obtained through factorized orbifold projections of N=8 supergravity, exposing their double-copy structure, and calculate their one-loop four-point scattering amplitudes. We observe a…

High Energy Physics - Theory · Physics 2015-06-12 John Joseph M. Carrasco , Marco Chiodaroli , Murat Gunaydin , Radu Roiban

The absolute integrated intensity of the single-phonon Raman peak at 1580 cm^{-1} is calculated for a clean graphene monolayer. The resulting intensity is determined by the trigonal warping of the electronic bands and the anisotropy of the…

Materials Science · Physics 2015-05-14 Denis Basko

In this work, we write down an analytic expression of electromagnetic tree-level Compton amplitude for a completely symmetric traceless (bosonic) higher spin particle in any dimension. Our analysis is restricted to the three-point function,…

High Energy Physics - Theory · Physics 2025-04-10 Aakash Kumar , Arnab Rudra , Manav Shah , Rahul Shaw

This is a summary of the analysis of the one-loop effective action in Z_2-orbifold compactifications of type-I theory presented in references [1,2]. We show how, for non-abelian group factors, the threshold effects are ultraviolet finite…

High Energy Physics - Theory · Physics 2016-09-06 C. Fabre

In a four dimensional theory of gravity with lagrangian quadratic in curvature and torsion, we compute the effective action for metrics of the form $g_{\mu\nu}=\rho^2\delta_{\mu\nu}$, with $\rho$ constant. Using standard field-theoretic…

High Energy Physics - Theory · Physics 2009-10-22 R. Floreanini , R. Percacci

We compute the polylogarithmic parts of the two-loop four and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic form. We use these to extract the $\ln(\mu^2)$ terms from both…

High Energy Physics - Theory · Physics 2017-03-01 David C. Dunbar , Guy R. Jehu , Warren B. Perkins

As a counterpart to the four-fermion interaction, which describes massive vector exchange at low energies, we investigate the low energy effective action of photons under exchange of a massive graviton. We show how integrating out a massive…

High Energy Physics - Theory · Physics 2024-02-27 Thomas Flöss , Diederik Roest , Tom Westerdijk

Graviton-dilaton background field equations in three space-time dimensions, following from the string effective action are solved when the metric has only time dependence. By taking one of the two space dimensions as compact, our solution…

High Energy Physics - Theory · Physics 2015-06-26 S. Pratik Khastgir , Alok Kumar

We apply factorization and eikonal methods from gauge theories to scattering amplitudes in gravity. We hypothesize that these amplitudes factor into an IR-divergent soft function and an IR-finite hard function, with the former given by the…

High Energy Physics - Theory · Physics 2015-05-20 Stephen G. Naculich , Howard J. Schnitzer

In this chapter, we will review the field-theoretic treatment of General Relativity based on an effective field theory extension of the Einstein-Hilbert action. This pragmatic route to low-energy quantum effects in gravity critically…

High Energy Physics - Theory · Physics 2022-12-20 N. Emil J. Bjerrum-Bohr , Ludovic Planté , Pierre Vanhove

We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order…

General Relativity and Quantum Cosmology · Physics 2011-03-21 T. Dereli , O. Sert

We characterise the one-loop amplitudes for N=6 and N=4 supergravity in four dimensions. For N=6 we find that the one-loop n-point amplitudes can be expanded in terms of scalar box and triangle functions only. This simplification is…

High Energy Physics - Theory · Physics 2011-09-22 David C. Dunbar , James H. Ettle , Warren B. Perkins

Recent and upcoming experimental data as well as the possibility of rich phenomenology has spiked interest in studying the quantum gravitational effects in cosmology at low (inflation-era) energy scales. While Planck scale physics is under…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Sandeep Aashish , Sukanta Panda

We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in…

High Energy Physics - Theory · Physics 2010-11-19 Diego D. Dalvit , Francisco D. Mazzitelli , Carmen Molina-Paris

We consider the six dimensional N=(1,0) hypermultiplet model coupled to an external field of the Abelian vector multiplet in harmonic superspace approach. Using the superfield proper-time technique we find the divergent part of the…

High Energy Physics - Theory · Physics 2016-07-20 I. L. Buchbinder , B. S. Merzlikin , N. G. Pletnev

In matrix theory the effective action for graviton-graviton scattering is a double expansion in the relative velocity and inverse separation. We discuss the systematics of this expansion and subject matrix theory to a new test. Low energy…

High Energy Physics - Theory · Physics 2009-09-17 K. Becker , M. Becker , J. Polchinski , A. Tseytlin

In the first part of the talk, I discussed the nature of the effective theory that describes the properties of the pion-nucleon-interaction at low energies, using the static model as a starting point. In the second part, I then pointed out…

High Energy Physics - Phenomenology · Physics 2011-04-15 H. Leutwyler