The one-loop renormalization of the gauge sector in the θ-expanded noncommutative standard model

Abstract

In this paper we construct a version of the standard model gauge sector on noncommutative space-time which is one-loop renormalizable to first order in the expansion in the noncommutativity parameter θ. The one-loop renormalizability is obtained by the Seiberg-Witten redefinition of the noncommutative gauge potential for the model containing the usual six representations of matter fields of the first generation.

NonzeroZ→γγdecays in the renormalizable gauge sector of the noncommutative standard model

“…In this work we consider the standard-model (SM) forbidden Z → γγ decay originating from the renormalizable gauge sector of the noncommutative standard model (NCSM) given in [1], which could be probed in highenergy collider experiments.…”

“…Even more, its noncommutative part is finite or free of divergences, so the noncommutativity parameter θ need not be renormalized. A detailed description of the renormalization procedure, including the results for the bare fields and couplings, is given in [1]. Finally, from the action (6) we extract the triplegauge boson terms which are not present in the commutative SM Lagrangian.…”

Photon self-interaction on deformed spacetime

“…Now taking into account the results of the θ 1 models [44,45], where in the NC SU(N) model [45] was explicitly shown that θ 1 parameter runs while having a negative β function, we conjecture that β functions associated with the parameters κ, η 1 , and (2η 4 − η 5 ) could be negative too. The (η 2 − η 3 ) difference should have a zero β function.…”

The numerical approach to quantum field theory in a noncommutative space

“…A very incomplete list of articles addressing problems in this research area includes refs. [78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99].…”