Search results for "singularity: collinear"

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Scattering Amplitudes from Superconformal Ward Identities

2018

We consider finite superamplitudes of N=1 matter, and use superconformal symmetry to derive powerful first-order differential equations for them. Because of on-shell collinear singularities, the Ward identities have an anomaly, which is obtained from lower-loop information. We show that in the five-particle case, the solution to the equations is uniquely fixed by the expected analytic behavior. We apply the method to a nonplanar two-loop five-particle integral. We consider finite superamplitudes of N=1 matter, and use superconformal symmetry to derive powerful first-order differential equations for them. Due to on-shell collinear singularities, the Ward identities have an anomaly, which is …

Physics010308 nuclear & particles physicsDifferential equation[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]hep-thGeneral Physics and Astronomyanomalydifferential equationshep-phsingularity: collinear16. Peace & justice01 natural sciencesSymmetry (physics)Scattering amplitudesymmetry: conformal[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]0103 physical sciencesGravitational singularityAnomaly (physics)010306 general physicsWard identity: conformalParticle Physics - TheoryMathematical physicsParticle Physics - Phenomenology
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Amplitudes from superconformal Ward identities

2018

We consider finite superamplitudes of N=1 matter, and use superconformal symmetry to derive powerful first-order differential equations for them. Due to on-shell collinear singularities, the Ward identities have an anomaly, which is obtained from lower-loop information. We show that in the five-particle case, the solution to the equations is uniquely fixed by the expected analytic behavior. We apply the method to a non-planar two-loop five-particle integral.

High Energy Physics - TheoryHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)symmetry: conformalFOS: Physical sciencesdifferential equationsanomaly[ PHYS.HPHE ] Physics [physics]/High Energy Physics - Phenomenology [hep-ph]singularity: collinearWard identity: conformal[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th]
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