We compute all helicity amplitudes for the scattering of five partons in two-loop QCD relevant flavor configurations, retaining contributing color structures. employ tensor projection to obtain ’t Hooft-Veltman scheme starting from a set primitive amplitudes. Our analytic results are expressed terms massless pentagon functions, and easy evaluate numerically. These provide important input investigations soft-collinear factorization studies high-energy limit. Published by American Physical Society 2024

A bstract We investigate 2 → 3 QCD scattering amplitudes in multi-Regge kinematics, i.e. where the final partons are strongly ordered rapidity. In this regime exhibit intriguing factorisation properties which can be understood terms of effective degrees freedom called reggeons . Working within Balitsky/JIMWLK framework, we predict these for first time to next-to-next-to-leading logarithmic order, and compare against limit full colour kinematics. find that latter described universal objects,...

We compute the three-loop helicity amplitudes for scattering of four gluons in QCD. employ projectors 't Hooft-Veltman scheme and construct from a minimal set physical building blocks, which allows us to keep computational complexity under control. obtain relatively compact results that can be expressed terms harmonic polylogarithms. In addition, we consider Regge limit our amplitude extract gluon trajectory full This is last missing ingredient required studying single-Reggeon exchanges at...

A bstract We compute the three-loop helicity amplitudes for $$ q\overline{q} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mover> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> → gg and its crossed partonic channels, in massless QCD. Our analytical results provide a non-trivial check of color quadrupole contribution to infrared poles external states different representations. At high energies, qg amplitude shows predicted factorized form from Regge theory...

A bstract We compute the three-loop corrections to helicity amplitudes for q $$ \overline{q} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>q</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> → Q \overline{Q} <mml:mi>Q</mml:mi> scattering in massless QCD. In Lorentz decomposition of amplitude we avoid evanescent structures and map corresponding form factors directly physical amplitudes. reduce master integrals express them terms harmonic polylogarithms. The...

Abstract Modifying gravity at large distances by means of a massive graviton may explain the observed acceleration Universe without Dark Energy. The standard paradigm for Massive Gravity is Fierz–Pauli theory, which, nonetheless, displays well known flaws in its massless limit. most serious one represented vDVZ discontinuity, which consists disagreement between limit theory and General Relativity. Our approach based on field-theoretical treatment Gravity: Relativity, weak field...

We consider the harmonic gauge condition in linearized gravity, seen as a theory for symmetric tensor field. Once is implemented, customary, according to Faddeev-Popov procedure, fixed action still depends on one parameter. Consequently, appears be class of conditions, rather than particular one. This allows give physical motivation covariant gauge(s), which emerges when gravitational perturbation given mass term. In fact, choice gauge, we find massive gravity displaying five degrees...

We describe an algorithm to organize Feynman integrals in terms of their infrared properties. Our approach builds upon the theory Landau singularities, which we use classify all configurations loop momenta that can give rise divergences. then construct bases numerators for arbitrary integrals, cancel singularities and render finite. Through same analysis, one also so-called evanescent evanescently finite integrals. These are whose vanishing or finiteness relies on properties dimensional...

The Abelian Chern-Simons theory is considered on a cylindrical spacetime $\mathbb{R}\ifmmode\times\else\texttimes\fi{}D$, in not necessarily flat Lorentzian background. As the bulk case with planar boundary, we find that also radial boundary of curved background Ka\ifmmode \mbox{\c{c}}\else \c{c}\fi{}-Moody algebra exists, same central charge as case, which henceforth depends neither metric nor geometry boundary. holographically induced 2D topologically protected, sense it describes...

We present three-loop helicity amplitudes for the production of a single photon in association with one jet quantum chromodynamics, final state which provides standard candle Standard Model at Large Hadron Collider. employ recently proposed variation so-called tensor projection method 't Hooft-Veltman scheme (tHV) avoids computation contributions due to unphysical ($\ensuremath{-}2\ensuremath{\epsilon}$)-dimensional polarizations external states. obtain compact analytic results expressed...

We describe an algorithm to organize Feynman integrals in terms of their infrared properties. Our approach builds upon the theory Landau singularities, which we use classify all configurations loop momenta that can give rise divergences. then construct bases numerators for arbitrary integrals, cancel singularities and render finite. Through same analysis, one also so-called evanescent evanescently finite integrals. These are whose vanishing or finiteness relies on properties dimensional...

We investigate $2 \to 3$ QCD scattering amplitudes in multi-Regge kinematics, i.e. where the final partons are strongly ordered rapidity. In this regime exhibit intriguing factorisation properties which can be understood terms of effective degrees freedom called \emph{reggeons}. Working within Balitsky/JIMWLK framework, we predict these for first time to next-to-next-to-leading logarithmic order, and compare against limit full colour kinematics. find that latter described universal objects,...

We compute all helicity amplitudes for the scattering of five partons in two-loop QCD relevant flavor configurations, retaining contributing color structures. employ tensor projection to obtain 't Hooft-Veltman scheme starting from a set primitive amplitudes. Our analytic results are expressed terms massless pentagon functions, and easy evaluate numerically. These provide important input investigations collinear-factorization breaking studies multi-Regge kinematics regime.

We compute the three-loop helicity amplitudes for $q\bar{q} \to gg$ and its crossed partonic channels, in massless QCD. Our analytical results provide a non-trivial check of color quadrupole contribution to infrared poles external states different representations. At high energies, $qg qg$ amplitude shows predicted factorized form from Regge theory confirms previous gluon trajectory extracted $qq' qq'$ $gg scattering.

We present novel techniques for the computation of three-loop four-parton scattering amplitudes in full color, non-planar gauge theories. elaborate on how analytic results these can be used to confirm conjectured infrared structure QCD up three loops and all-orders data extracted from their high-energy limit.

We present novel techniques for the computation of three-loop four-parton scattering amplitudes in full color, non-planar gauge theories. elaborate on how analytic results these can be used to confirm conjectured infrared structure QCD up three loops and all-orders data extracted from their high-energy limit.

We present three-loop helicity amplitudes for the production of a single photon in association with one jet Quantum Chromodynamics, final state which provides standard candle Standard Model at Large Hadron Collider. employ recently-proposed variation so-called tensor projection method 't Hooft-Veltman scheme (tHV) avoids computation contributions due to unphysical (-2$ε$)-dimensional polarisations external states. obtain compact analytic results expressed terms harmonic polylogarithms.