Extended Grimus–Stockinger theorem and inverse-square law violation in quantum field theory

Naumov, Vadim A.; Shkirmanov, Dmitry S.

doi:10.1140/epjc/s10052-013-2627-z

Cited by 13 publications

(32 citation statements)

References 74 publications

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“…This is in agreement with the conservative estimate presented in Ref. [30]. Besides, the best-fit value of L 0 is very stable with respect to choice of the data subset and ν e spectrum model.…”

Section: Discussionsupporting

confidence: 91%

“…The functions δ s (q − q s ) and δ d (q + q d ) are the "smeared" δ functions (see Ref. [30] for their explicit form) defined by the 4-momenta p κ , masses m κ (m 2 κ = p 2 κ ), and momentum spreads σ κ of the external in and out packets (σ 2 κ ≪ m 2 κ ). In the plain-wave limit (σ κ → 0, ∀κ) these functions turn into the ordinary…”

Section: A Sketch Of the Qft Approachmentioning

confidence: 99%

“…A simple example is discussed in Ref. [30] within the so-called contracted relativistic Gaussian packet (CRGP) model [33,34]. It is in particular shown that σ eff is defined through the transverse (with respect to the neutrino propagation direction l) components of the inverse overlap tensors which determine the effective space-time overlap volumes of the WP states in the vertices of the macrodiagram.…”

Section: A Sketch Of the Qft Approachmentioning

confidence: 99%

“…Such an alternative has been proposed in Ref. [30]. It is based on a quantum field-theoretical (QFT) approach to the neutrino oscillation phenomenon, which predicts a small deviation of the (anti)neutrino event rate, as a function of the distance L between the source and detector, from the classical inverse-square law (ISL) behavior.…”

mentioning

confidence: 99%

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Inverse-square law violation and reactor antineutrino anomaly

Naumov¹,

Naumov²,

Shkirmanov³

2017

Phys. Part. Nuclei

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We discuss a possibility that the so-called reactor antineutrino anomaly can be, at least in part, explained by applying a quantum field-theoretical approach to neutrino oscillations, which in particular predicts a small deviation from the classical inverse-square law at short but macroscopic distances between the neutrino source and detector. An extensive statistical analysis of the reactor data is performed to examine this speculation.

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Section: Discussionsupporting

confidence: 91%

Section: A Sketch Of the Qft Approachmentioning

confidence: 99%

Section: A Sketch Of the Qft Approachmentioning

confidence: 99%

mentioning

confidence: 99%

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Inverse-square law violation and reactor antineutrino anomaly

Naumov¹,

Naumov²,

Shkirmanov³

2017

Phys. Part. Nuclei

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“…5 Since the QFT approach considers both neutrino production and detection one finds that σ rel , being a relativistic invariant, is actually a function of kinematic variables involved in the production and detection processes as well as of momentum dispersions of wave packets describing all involved particles [48]. Therefore, in comparing the QM and QFT approaches, we may treat the QM σ rel as that of the QFT approach averaged over the kinematic variables of all external wave packets involved in neutrino production and detection.…”

Section: Neutrino Oscillation In a Wave Packet Modelmentioning

confidence: 99%

Study of the wave packet treatment of neutrino oscillation at Daya Bay

2017

Eur. Phys. J. C

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The disappearance of reactorν e observed by the Daya Bay experiment is examined in the framework of a model in which the neutrino is described by a wave packet with a relative intrinsic momentum dispersion σ rel . Three pairs of nuclear reactors and eight antineutrino detectors, each with good energy resolution, distributed among three experimental halls, supply a high-statistics sample ofν e acquired at nine different baselines. This provides a unique platform to test the effects which arise from the wave packet treatment of neutrino oscillation. The modified survival probability formula was used to fit Daya Bay data, providing the first experimental limits: 2.38 × 10 −17 < σ rel < 0.23. Treating the dimensions of the reactor cores and detectors as constraints, the limits are improved: 10 −14 σ rel < 0.23, and an upper limit of σ rel < 0.20 (which corresponds to σ x 10 −11 cm) is obtained. All limits correspond to a 95% C.L. Furthermore, the effect due to the wave packet nature of neutrino oscillation is found to be insignificant for reactor antineutrinos detected by the Daya Bay experiment thus ensuring an unbiased measurement of the oscillation parameters sin 2 2θ 13 and Δm 2 32 within the plane wave model.

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Corrections to scattering processes due to minimal measurable length

et al. 2019

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In this paper, we will analyze the short distance corrections to low energy scattering. They are produced because of an intrinsic extended structure of the background geometry of spacetime. It will be observed that the deformation produced by a minimal measurable length can have low energy consequences, if this extended structure occurs at a scale much larger than the Planck scale. We explicitly calculate short distance corrections to the Green function of the deformed Lippmann-Schwinger equation, and to the conserved currents for these processes. We then use them to analyze the pre-asymptotic corrections to the differential scattering flux at finite macroscopically small distances.We do not have a complete theory of quantum gravity, however, there are various approaches to quantum gravity. It is expected from various different approaches to quantum gravity that the geometry of spacetime could be deformed by the existence of a minimal measurable length scale [5]. In fact, it is known that in string theory, the background geometry of spacetime gets deformed by the existence of a such minimal measurable length [1,2]. The reason is that the smallest probe available in string theory is the fundamental string, and so the spacetime cannot be probed below the string length scale [3,4]. In fact, it has been demonstrated that in perturbative string theory, the minimal measurable length l min is related to the string length as l min = g 1/4 s l s (where l s = α ′ is the string length, and g s is the string coupling constant). Even though non-perturbative effects can produce point like objects (such a D0-branes), it can be argued that a minimal length of the order of l min = l s g 1/3 s is produced by these non-perturbative effects [5,6]. Such a minimal measurable length exists in string theory because the total energy of the quantized string depends on the winding number w and the excitation number n. Now under T-duality, as ρ → l 2 s /ρ, we have n → w. Thus, it is possible to argue using the T-duality that a description of string theory below and above l s are the same, and so string theory contains a minimal measurable length scale [5]. It should be noted that an effective path integral of the center of mass of the string (for strings propagating in compactified extra dimensions) has been constructed, and T-duality has been used to demonstrate that such a system has a minimal length associated with it [7,8]. As the construction of double field theory has been motivated from T-duality [9, 10], it is expected that such a minimal length will also exist in the double field theory [11].It may be noted that even if the string theory does not turn to be the true theory of quantum gravity, the argument for the existence of a minimal measurable length in spacetime could still hold. As it can be argued, a minimal measurable length scale, at least of the order of Planck length, would exist in all approaches to quantum gravity. This is because any theory of quantum gravity has to produce consistent black hole physics, and the black ...

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Extended Grimus–Stockinger theorem and inverse-square law violation in quantum field theory

Cited by 13 publications

References 74 publications

Inverse-square law violation and reactor antineutrino anomaly

Inverse-square law violation and reactor antineutrino anomaly

Study of the wave packet treatment of neutrino oscillation at Daya Bay

Corrections to scattering processes due to minimal measurable length

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