<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>violation from noncommutative geometry

Hinchliffe, I.; Kersting, N.

doi:10.1103/physrevd.64.116007

Cited by 55 publications

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“…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].…”

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confidence: 99%

K→πγdecays and space-time noncommutativity

2005

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We propose the K → πγ decay mode as a signature of the violation of the Lorentz invariance and the appearance of new physics via space-time noncommutativity.PACS numbers: 12.39Dc, In this proposal we assume space-time noncommutativity (NC) to compute the K → πγ decay forbidden by the Lorentz invariance.The dynamics of the standard model (SM) forbidden flavor-changing weak decays is described in the framework of the noncommutative SM (NCSM), where the content of particles and symmetries is the same as in the usual commutative space-time. Gauge symmetry is included in an infinitesimal form, thus SU(N) gauge symmetry is implementable. All NC fields are expressed in terms of the usual fields via the Seiberg-Witten (SW) map by expansion up to first order in the NC parameter θ µν . As in other particle physics models on noncommutative space-time, a general feature of the NCSM action is the violation of space-time symmetries, in particular of angular momentum conservation and discrete symmetries like P, CP, and possibly even CPT. This symmetry breaking is spontaneous in the sense that it is broken with respect to a fixed noncommutative background.The method for implementing non-Abelian SU(N) theories on noncommutative space-time, based on the Seiberg-Witten map [1], has been proposed in [2]. In [3,4,5,6] this method has been applied to the standard model of particle physics resulting in the noncommutative extension of the SM, called NCSM action, with the same structure group SU(3) c × SU(2) L × U(1) Y and with the same fields and number of coupling parameters as in the original SM. It represents a θ µν -expanded effective actionvalid at very short distances, that leads to an anomaly free theory [7]. For expressions of particular contributions we refer to [5,6]. The θ µν = c µν /Λ 2 NC is the constant, antisymmetric tensor, where c µν are dimensionless coefficients of order unity and Λ NC is the scale of 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]. From S Higgs we find the contribution proportional to the M 2while explicit expressions containing important Yukawa terms forq (i) q (j) γ andq (i) q (j) γW + vertices are given by Eqs. (76), (78) and (86) of Ref. [5]. There is also an additional contribution to the vertex (2) from Eq. (89) in [5], but owing to the symmetry this term vanishes. The free quark amplitude M contributing to the K ...

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K→πγdecays and space-time noncommutativity

2005

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“…There exist other box diagrams contributed by t ′ (see fig. 1), similar to the leading box diagrams in MSSM [20].…”

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confidence: 65%

“…For physics beyond the SM, there are a number of studies of the new physics effects in B d decays [19,16,20]. But B s system has received somewhat less attention from new physics point of view [21,16,20]. Experimentally, ∆M B d has been accurately measured, ∆M B d = 0.473 ± 0.016(ps) −1 [16,22].…”

Section: Introductionmentioning

confidence: 99%

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Effects of the fourth generation on $\Delta M_{B_{d,s}}$ in $B^0$ – $\bar B^0$ mixing

Huo

2002

Eur. Phys. J. C

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We investigate the mass differences ∆M B d,s in the mixing B 0 d,s −B 0 d,s with a new up-like quark t ′ in a sequential fourth generation model. We give the basic formulae for ∆M B d,s in this model. (1), then, we analysis the final numerical results of ∆M Bs , which is the function of m t ′ through a fourth generation CKM factor V * t ′ s V t ′ b constrained by the rare decay B → X s l + l − and two new Wilson coefficients S 0 (x t ′ ) and S 0 (x t , x t ′ ). We found that one kind of the new results are satisfied with the present experimental low-bound of ∆M Bs . (2), we get the constraint of the fourth generation CKM factor V * t ′ b V t ′ d , (which is also the function of t ′ ), from the experimental measurements of ∆M B d and give the figs. of V * t ′ b V t ′ d to m t ′ and the general CKM factor V * tb V td . We also give the numerical results of the Wilson coefficients S 0 (x t ′ ), S 0 (x t , x t ′ ) and η t ′ , η tt ′ as the function of m t ′ . We also talk about the hierarchy of the fourth generation CKM matrix. As one of the directions beyond the SM, ∆M B d,s could provide a possible test of the fourth generation or perhaps a signal of the new physics.

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“…In one of the most popular scenarios, space-time is considered to become noncommutative at short distance scales, with space-time coordinates satisfying a commutation relation of the following form [1,2,3,4,5,6,7] [x µ ,x ν ] = iθ µν ,…”

Section: Introductionmentioning

confidence: 99%

Evaluating matrix elements relevant to some Lorentz violating operators

Nazaryan¹

2003

Phys. Rev. D

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Carlson, Carone and Lebed have derived the Feynman rules for a consistent formulation of noncommutative QCD. The results they obtained were used to constrain the noncommutativity parameter in Lorentz violating noncommutative field theories. However, their constraint depended upon an estimate of the matrix element of the quark level operator ( p − m) in a nucleon. In this paper we calculate the matrix element of ( p − m), using a variety of confinement potential models. Our results are within an order of magnitude agreement with the estimate made by Carlson et al. The constraints placed on the noncommutativity parameter were very strong, and are still quite severe even if weakened by an order of magnitude.

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CPviolation from noncommutative geometry

Cited by 55 publications

References 53 publications

K→πγdecays and space-time noncommutativity

K→πγdecays and space-time noncommutativity

Effects of the fourth generation on $\Delta M_{B_{d,s}}$ in $B^0$ – $\bar B^0$ mixing

Evaluating matrix elements relevant to some Lorentz violating operators

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