The photon-neutrino interaction induced by non-commutativity and astrophysical bounds

Abstract

In this letter we propose a possible mechanism of left-and right-handed neutrino couplings to photons, which arises quite naturally in non-commutative gauge field theory. We estimate the predicted additional energy-loss in stars induced by space-time non-commutativity. The usual requirement that any new energy-loss mechanism in globular stellar clusters should not excessively exceed the standard neutrino losses implies a scale of non-commutative gauge theory above the scale of weak interactions.

Nonassociative Snyder ϕ4 quantum field theory

“…Together with string theories [1], this is one of the oldest motivations for the introduction of noncommutative (NC) geometry [2][3][4][5][6][7][8]. The simplest kind of noncommutative geometry is the so-called "canonical" one [3,[9][10][11][12][13][14]. Usually, the construction of a field theory on a noncommutative space is performed by deforming the product between functions (and, hence, between fields in general) with the introduction of a noncommutative star product.…”

Quarkonia decays into two photons induced by space-time noncommutativity

“…; gg decays [6,14], neutrino astrophysics [15] and neutrino physics [16], as well as low-energy nonaccelerator experiments [17][18][19]. Note that the Lorentz violating operators considered in [17,18] do not appear in the NCSM [2 -8,14 -16] considered in this article.…”

K→πγdecays and space-time noncommutativity

“…The matter sector of the action (1), relevant to this work, is not affected by the freedom of choosing traces in the gauge kinetic part; the quark-gauge boson interactions remain the same [5,6]. The above action is symmetric under ordinary gauge transformations in addition to noncommutative ones.An alternative NCSM proposal was presented in [8].Signatures of noncommutativity have been discussed within collider physics [9,10,11,12], SM forbidden decays [4,13,14,15,16], neutrino astrophysics [17,18], in [19], as well as for low-energy non-accelerator experiments [20,21,22,24]. This paper represents an estimate of the K → πγ decay branching ratio, based on the complete analysis of the S NCSM action presented in [5].…”