Vector boson scattering from the lattice

Investigating vector boson scattering: A fully gauge-invariant study

“…Here we included also a second order term in eq. ( 9) to get better agreement throughout the elastic region [16]. The radius is not described by APT at Born level, which is also not expected.…”

“…with 𝑓 𝐽 the partial transition amplitude, 𝑃 𝐽 the Legendre polynomials and 𝛿 𝐽 the phase shift. For VBS at the here investigated Born level it is additionally necessary to perform a reunitarization [16,20], requiring to replace the initial 𝑓 𝐽 by 1/(Re(1/ 𝑓 𝐽 ) − i). From eqs.…”

“…Therefore, we use the lattice discretization taken from [24]. More details on the action and the simulation itself can be found in [16,22,25,26]. The lattice sizes used are 𝐿 4 with 𝐿 = {8, 12, .…”

Investigating vector boson scattering: A fully gauge-invariant study

“…with f J the partial transition amplitude, P J the Legendre polynomials and δ J the phase shift. For VBS at the here investigated Born level it is additionally necessary to perform a reunitarization [8,11], requiring to replace the initial f J by 1/(Re(1/ f J ) − i). From eqs.…”

“…This gives a qualitative picture. We study now the same process using lattice simulations, see [8] for details, to compare it with the analytic expectations obtained in section 2 and to check the reliability of the FMS-approach. The characteristics of this theory required us to simulate at very coarse lattices and relatively large weak-coupling compared to the SM.…”