Resolving the Weinberg paradox with topology

Terning, John; Verhaaren, Christopher B.

doi:10.1007/jhep03(2019)177

Cited by 28 publications

(56 citation statements)

References 52 publications

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“…Our model simply realizes the regime where the Abelian force associated with the monopoles is Higgsed, therefore the monopoles are expected to confine. This, in turn, may new dynamics relevant for the dark sector [85,86].…”

Section: Discussionmentioning

confidence: 99%

Vector self-interacting dark matter

Chaffey

Tañedo

2020

Phys. Rev. D

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We present a model of vector dark matter that interacts through a low-mass vector mediator based on the Higgsing of an su(2) dark sector. The dark matter is charged under a u(1) gauge symmetry. Even though this symmetry is broken, the residual global symmetries of the theory prevent dark matter decay. We present the behavior of the model subject to the assumption that the dark matter abundance is due to thermal freeze out, including self-interaction targets for small scale structure anomalies and the possibility of interacting with the Standard Model through the vector mediator.

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Section: Discussionmentioning

confidence: 99%

Vector self-interacting dark matter

Chaffey

Tañedo

2020

Phys. Rev. D

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“…The dressed couplings of the monopole to the A µ (photon) and B µ (dual-photon) fields are given by ZeA and ZeB respectively, where Z is the wave-function renormalization factor, computed non-perturbatively due to the quantum corrections induced by the strongly-coupled U (1)strong gauge interactions. Notice that in our approach, in contrast to that of Zwanziger [2], which was adopted in [18], the photon (A µ ) and the dual photon (B µ ) are independent fields, which explains the presence of the last two graphs on the right-hand side of the figure (connected with a "+" sign). When however consider the monopole, one should impose on the classical on-shell gauge fields the constraint (10), which brings back the Dirac-string effects.…”

Section: A Perturbative Effective Magnetic Charge For Slowly-moving mentioning

confidence: 92%

“…For slowly moving monopoles, Z 1 and this ensures perturbativity of all couplings, hence the depicted graphs denote the leading corrections in both A µ and B µ sectors. In such a case, resummation of the soft on-shell photons exponentiates such string effects into phases of the pertinent scattering amplitudes [18]. of the monopole, and how our effective theory (9) describes the scattering of the latter with charged matter or its production from charged matter [19].…”

Section: A Perturbative Effective Magnetic Charge For Slowly-moving mentioning

confidence: 99%

“…B. Soft gauge-field-emission resummation and disappearance of Dirac-String effects from cross sections: a brief review of the arguments of [18] Before closing the discussion, we would like to review briefly the arguments of [18] on the decoupling of any Lorentzviolating Dirac-string effects from the physical cross sections (or even the scattering amplitudes if the quantization condition (1) is valid). These arguments were based on a perturbative resummation of soft photons in the toy model for the monopole used in that work, where the magnetic charge was perturbative.…”

Section: A Perturbative Effective Magnetic Charge For Slowly-moving mentioning

confidence: 99%

“…It is the purpose of this work to justify the use of an effective magnetic charge (14) in scattering processes involving magnetic poles by constructing a Lorentz and gauge invariant effective field theory of monopoles within a toy model, which we shall describe below. Our model is motivated by the model of Zwanziger [2] (9), combined with the findings/arguments of [18] that any Lorentz-Violating effects of the monopole will not be present in cross sections (or scattering amplitudes, if the quantization condition (1) is valid). Our results are based on a non-perturbative dressing of the coupling of the monopole to the real photon.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Weak-U(1) × strong-U(1) effective gauge field theories and electron-monopole scattering

Alexandre

Mavromatos

2019

Phys. Rev. D

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We present a gauge and Lorentz invariant model for the scattering of matter off magnetic poles, which justifies the presence of velocity-dependent magnetic charges as an effective description of either the behaviour of monopoles in scattering with matter or their production from matter particles at colliders. Hence, in such an approach, perturbativity of the magnetic charge is ensured for relative low velocities of monopoles with respect to matter particles. The model employs a U(1) weak × U(1) strong effective gauge field theory under which electrons and monopoles (assumed to be fermions) are appropriately charged. The non-perturbative quantum effects of the strongly coupled sector of the theory lead to dressed effective couplings of the monopole/dyon with the electromagnetic photon, due to non-trivial wave-function renormalization effects. For slowly-moving monopole/dyons, such effects lead to weak coupling, thus turning the bare non-perturbative magnetic charge, which is large due to the Dirac/Schwinger quantization rule, into a perturbative effective, velocity-("β")-dependent magnetic coupling. Our work thus offers formal support to previous conjectural studies, employing effective U(1)-electromagnetic gauge field theories for the description of monopole production from Standard Model matter, which are used in contemporary collider searches of such objects. This work necessarily pertains to composite monopoles, as seems to be the case of all known monopoles so far, that are solutions of specific particle physics models. This is a consequence of the fact that the wave-function renormalization of the (slowly-moving) monopole fermion turns out to violate unitarity bounds that would characterise asymptotic elementary particle states.

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Holographic chiral algebra: supersymmetry, infinite Ward identities, and EFTs

Jiang

2022

J. High Energ. Phys.

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Celestial holography promisingly reformulates the scattering amplitude holographically in terms of celestial conformal field theory living at null infinity. Recently, an infinite-dimensional symmetry algebra was discovered in Einstein-Yang-Mills theory. The starting point in the derivation is the celestial OPE of two soft currents, and the key ingredient is the summation of $$ \overline{\mathrm{SL}\left(2,\mathbb{R}\right)} $$ SL 2 ℝ ¯ descendants in OPE. In this paper, we consider the supersymmetric Einstein-Yang-Mills theory and obtain the supersymmetric extension of the holographic symmetry algebra. Furthermore, we derive infinitely many Ward identities associated with the infinite soft currents which generate the holographic symmetry algebra. This is realized by considering the OPE between a soft symmetry current and a hard operator, and then summing over its $$ \overline{\mathrm{SL}\left(2,\mathbb{R}\right)} $$ SL 2 ℝ ¯ descendants. These Ward identities reproduce the known Ward identities corresponding to the leading, sub-leading, and sub-sub-leading soft graviton theorems as well as the leading and sub-leading soft gluon theorems. By performing shadow transformations, we also obtain infinitely many shadow Ward identities, including the stress tensor Ward identities for sub-leading soft graviton. Finally, we use our procedure to discuss the corrections to Ward identities in effective field theory (EFT), and reproduce the corrections to soft theorems at sub-sub-leading order for graviton and sub-leading order for photon. For this aim, we derive general formulae for the celestial OPE and its corresponding Ward identities arising from a cubic interaction of three spinning massless particles. Our formalism thus provides a unified framework for understanding the Ward identities in celestial conformal field theory, or equivalently the soft theorems in scattering amplitude.

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Resolving the Weinberg paradox with topology

Cited by 28 publications

References 52 publications

Vector self-interacting dark matter

Vector self-interacting dark matter

Weak-U(1) × strong-U(1) effective gauge field theories and electron-monopole scattering

Holographic chiral algebra: supersymmetry, infinite Ward identities, and EFTs

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