Response to an external magnetic field of the decay rate of a neutral scalar field into a charged fermion pair

Jaber‐Urquiza, Jorge; Piccinelli, Gabriella; Sánchez, Alejandro

doi:10.1103/physrevd.99.056011

Cited by 8 publications

(9 citation statements)

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“…Another ingredient that could be relevant is the spin. In particular, the studies done in (Jaber‐Urquiza et al 2019; Piccinelli & Sánchez 2017) explore different spins of the daughters particles by analyzing the decay of a neutral scalar particle into charged scalars (

\Phi \to \phi {\phi}^{\ast }

) and charged fermions (

\Phi \to \overline{\psi}\psi

), respectively, in the presence of a uniform magnetic field. Both works consider the weak magnetic field limit (compared with the decay product masses

qB\ll {m}^2

, with

q

its electric charge) for different kinematic regions of the neutral scalar particle.…”

Section: Applicationsmentioning

confidence: 99%

“…Diagrammatic description of the Cutosky rule applied to the scalar self‐energy in interaction with a couple of fermions (Jaber‐Urquiza et al 2019). …”

Section: Applicationsmentioning

confidence: 99%

“…In the literature, the interaction process is favored in some cases (Bali et al 2018; Bandyopadhyay & Mallik 2017; Bhattacharya & Sahu 2009; Erdas & Lissia 2003; Kuznetsov et al 1998, 2006; Mikheev & Chistyakov 2001; Satunin 2015; Tsai & Erber 1974, 1975; Urrutia 1978). In some others it is inhibited (Bandyopadhyay et al 2018; Kawaguchi & Matsuzaki 2017; Sogut et al 2017) or it can transit from one behavior to the other, depending on the kinematic regime of the progenitor particle (Chistyakov et al 1998; Ghosh et al 2017; Jaber‐Urquiza et al 2019; Ghosh & Chandra 2020).…”

Section: Introductionmentioning

confidence: 99%

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Particle interaction strengths modified by magnetic fields

2023

Self Cite

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Magnetic fields are everywhere in the Universe and in our everyday life and many processes are affected by their presence, generating a rich phenomenology that depends also on other possible external agents. We review here some results, both from our workgroup and from other research groups, about the effect of magnetic fields on particles interaction processes, focusing mainly on recent results, but without losing sight on early seminal works on this topic. A vast assortment of physical situations and of analytical and numerical approaches can be found in the literature in this subject, making the comparison between them not straightforward. Our aim is to focus attention on differences and similarities between the different situations and approaches, looking for a systematization scheme that could be predictive, once the role played by each physical ingredient could be understood. The main purpose of this work is to find some physical explanations of the ongoing processes.

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\Phi \to \phi {\phi}^{\ast }

) and charged fermions (

\Phi \to \overline{\psi}\psi

), respectively, in the presence of a uniform magnetic field. Both works consider the weak magnetic field limit (compared with the decay product masses

qB\ll {m}^2

, with

q

its electric charge) for different kinematic regions of the neutral scalar particle.…”

Section: Applicationsmentioning

confidence: 99%

“…Diagrammatic description of the Cutosky rule applied to the scalar self‐energy in interaction with a couple of fermions (Jaber‐Urquiza et al 2019). …”

Section: Applicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Particle interaction strengths modified by magnetic fields

2023

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“…In the case of weak magnetic field and high transverse momentum, the decay width for the fermionic loop has the form (Jaber‐Urquiza et al 2019)

\begin{array}{l} Γ^{B} & = \frac{\sqrt[3]{2} g^{2}}{2 π {(italiceB)}^{2 false/ 3} {p_{⊥}}^{2 false/ 3}} \frac{normalΘ ((), p^{2} - 4 m^{2})}{\sqrt{{\overset{p}{true}}^{2} + M^{2}}} \\ \times false[\frac{2 \sqrt[3]{2} {(italiceB)}^{4 false/ 3}}{3 {p_{⊥}}^{2 false/ 3}} \int_{\sqrt{1 - \frac{4 m^{2}}{p^{2}}}}^{1} italicdv {(1 - v^{2})}^{- 4 false/ 3} italicAi {(x)}^{'} \\ \times ((), \frac{1 - v^{2}}{4} {p_{∥}}^{2} - \frac{((), 1 - v^{2}) ((), 7 v^{2} - 5)}{16} {p_{⊥}}^{2} - m^{2}) \\ - \frac{p^{2}}{2} \int_{\sqrt{1 - \frac{4 m^{2}}{p^{2}}}}^{1} italicdv \frac{v^{2}}{{((), 1 - v^{2})}^{2 / 3}} ((), \frac{1 + v^{2}}{4} p^{2} - m^{2}) italicAi ((), x) \\ + \frac{4}{3} \int_{\sqrt{1 - \frac{4 m^{2}}{p^{2}}}}^{1} italicdv \frac{v^{2}}{{((), 1 - v^{2})}^{5 / 3}} ((), \frac{1 + v^{2}}{4} p^{2} - m^{2}) ... \end{array}

…”

Section: Effect Of the Magnetic Field On The Decay Processmentioning

confidence: 99%

Magnetic field effect on early universe events

Bocchi

2021

Astron Nachr

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An outlook of different aspects of the incidence of magnetic fields on early universe events is presented. The events we will focus on include inflation and the electroweak phase transition. The guideline of the study is mainly the effect of the magnetic field on the effective potential of phase transitions and the decay process of the field leading the phase transition. We will consider both weak and strong magnetic field approximations, since this issue seems to make some important differences in the results. Besides presenting the results of our working group, we will also discuss other works that can be found in the literature.

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“…In that case, one obtains the one-loop self energy of the parent particle under external magneic field. The imaginary part of the self energy leads to the decay width [31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Scattering cross-section under external magnetic field using the optical theorem

Ghosh,

Chandra

2019

Preprint

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The cross section for the lowest order 2 → 2 elastic scattering between two charged scalars under external magnetic field mediated via a neutral scalar, has been computed in strong as well as weak magnetic field limits. This has been done by applying the optical theorem where the cross section is expressed in terms of the imaginary parts of different one loop graphs contributing to the forward scattering amplitudes. The modification in the amplitudes due to the external magnetic field have been done by means of replacing the charged scalar propagators with the Schwinger proper time ones. Significant modifications of the cross sections with respect to the vacuum cross section are observed due to external magnetic field.

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Response to an external magnetic field of the decay rate of a neutral scalar field into a charged fermion pair

Cited by 8 publications

References 103 publications

Particle interaction strengths modified by magnetic fields

Particle interaction strengths modified by magnetic fields

Magnetic field effect on early universe events

Scattering cross-section under external magnetic field using the optical theorem

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