Hide and Seek with Massive Fields in Modulus Mediation

Okumura, K.

doi:10.1103/physrevlett.123.151801

Cited by 2 publications

(1 citation statement)

References 81 publications

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“…This gap between the two masses requires another fine-tuning. It is expected that this gap is plugged by the SUSY breaking [11][12][13][14][15][16][17][18][19][20], a kind of spontaneous symmetry breaking. Unfortunately, any fingerprint of SUSY and its spontaneous breaking had not been firmly, directly observed in the physical reality even for the quantum mechanics (QM) version [21][22][23][24][25][26] until 2022.…”

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A Model without Higgs Potential for Quantum Simulation of Radiative Mass-Enhancement in SUSY Breaking

Hirokawa¹

2022

Preprint

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We study the model of a mass enhancement in the N = 2 supersymmetric quantum mechanics. This model is so simple that it may be implemented as a quantum simulation of the mass enhancement taking place when supersymmetry (SUSY) is spontaneously broken. It is evolved from a prototype based on the quantum Rabi model. The original prototype is given as a mathematical model, and has the transition from the N = 2 SUSY to its spontaneous breaking, though it has no mass enhancement. It is lately reported that the transition using this prototype is observed in a trapped-ion experiment with devising a method experimentally to realize the transition. The model proposed in this paper describes how a 1-mode heavy boson acquires a part of its mass from the excitation of another 1-mode light boson in the SUSY breaking. Although our model's interaction does not have the Higgs potential, its mass is radiatively enhanced with the help of the swap between the bosonic and fermionic states. The transition with the mass enhancement occurs under the devise used in the trapped-ion experiment. I. INTRODUCTIONIn 2012 the long-sought Higgs boson is found [1, 2], which establishes the triumph of the Brout-Englert-Higgs mechanism [3,4]. This mechanism tells us how no-mass gauge particles gain mass in the standard model (SM), while the gauge particle itself alone cannot have its mass due to gauge symmetry. That finding shows the Higgs-particle mass of 125 GeV (∼ 10 2 GeV). Considering the interaction of the Higgs particle and an elementary particle in the Planck-scale, particle physicists normally need a special tuning to obtain the Higgs mass.Since the Planck-scale mass (∼ 10 18 GeV) is so much heavier than the Higgs mass, particle physicists usually employ the so-called fine-tuning in SM to cope with the mass gap with the ratio (∼ 10 16 GeV); thus, they perform the unnatural, huge cancellation between the bare mass term and the quantum corrections to obtain the Higgs mass. This is the so-called hierarchy problem. Moreover, the Higgs mass of 125 GeV could result in the possibility of the flat Higgs potential [5][6][7][8][9][10]. It says that the Higgs quartic interaction may almost vanish at the Planck scale in electroweak theory. Removing this apprehension, we probably should

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A Model without Higgs Potential for Quantum Simulation of Radiative Mass-Enhancement in SUSY Breaking

Hirokawa¹

2022

Preprint

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Can quantum Rabi model with $${\varvec{A}}^\textbf{2}$$-term avoid no-go theorem and make quantum simulation of mass-enhancement in SUSY breaking?

Hirokawa

2024

Quantum Stud.: Math. Found.

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We study the model of a mass enhancement in the supersymmetric quantum mechanics. This model is so simple that it may be implemented as a quantum simulation of the mass enhancement taking place when supersymmetry (SUSY) is spontaneously broken. It is evolved from a prototype based on the quantum Rabi model. Here, our quantum simulation means the realization of the target quantum phenomenon as a physical entity with some quantum-information devices. The original prototype is given as a mathematical model, and has the transition from the $${\mathcal {N}}=2$$ N = 2 SUSY to its spontaneous breaking, though it has no mass enhancement. It is recently reported that the transition is observed for this prototype in a trapped-ion experiment with devising a method experimentally to realize the transition. The model proposed in this paper describes how the mass enhancement takes place in the fermionic states by the excitation of the 1-mode light boson in the SUSY breaking. In this model, the bosonic and fermionic states are graded by qubits. Although our model’s interaction does not have the Higgs potential, the mass enhancement in the fermionic states is caused by the radiative enhancement with the help of the X-gate’s swap between the fermionic and bosonic states.

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Hide and Seek with Massive Fields in Modulus Mediation

Cited by 2 publications

References 81 publications

A Model without Higgs Potential for Quantum Simulation of Radiative Mass-Enhancement in SUSY Breaking

A Model without Higgs Potential for Quantum Simulation of Radiative Mass-Enhancement in SUSY Breaking

Can quantum Rabi model with $${\varvec{A}}^\textbf{2}$$-term avoid no-go theorem and make quantum simulation of mass-enhancement in SUSY breaking?

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