Anomalous Sudakov Form Factors

Abstract

While radiative corrections of infrared origin normally depress high energy amplitudes (Sudakov form factors), we find that in some cases resummation of leading effects produces exponentials with positive exponents, giving rise to amplitudes that grow indefinitely with energy. The effect happens in broken gauge theories like the electroweak sector of the Standard Model, and is related to the existence of amplitudes that do not respect the gauge symmetry, and that contrary to expectations do not vanish in the very high energy limit, but rather become dominant. As a working example we consider a model with two chiral abelian gauge groups $U^{\prime }(1)\otimes U(1)$ with large mass splitting $M_{Z^{\prime }}\gg M_Z$, and we compute leading radiative corrections corrections to the decay of the heavy extra $Z^{\prime }$ boson into light fermions. For proper fermionic charges, the chirality breaking magnetic dipole moment, although mass suppressed, becomes the dominant contribution to the $Z^{\prime }$ width at very high energies.

12 pages

References in corpus (5)

• Electroweak corrections to hadronic production of W bosons at large transverse momenta
• Electroweak Corrections in High Energy Processes using Effective Field Theory
• Weak Boson Emission in Hadron Collider Processes
• Electroweak Corrections using Effective Field Theory: Applications to the LHC
• Two-loop electroweak next-to-leading logarithmic corrections to massless fermionic processes

Cited by in corpus (7)

• Weak Corrections are Relevant for Dark Matter Indirect Detection
• Automated Predictions from Polarized Matrix Elements
• Gravitational Causality and the Self-Stress of Photons
• TeV scale Dark Matter and electroweak radiative corrections
• Learning from Radiation at a Very High Energy Lepton Collider
• Higgsino dark matter model consistent with galactic cosmic ray data and possibility of discovery at LHC-7
• The Role of Electroweak Corrections for the Dark Matter Relic Abundance