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#### Gravitational Waves as a Probe of Left-Right Symmetry Breaking

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1909.02018.pdf

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##### Citation

Brdar, V., Graf, L., Helmboldt, A., & Xu, X.-J. (2019). Gravitational Waves as a Probe of Left-Right Symmetry Breaking. Retrieved from http://arxiv.org/abs/1909.02018.

Cite as: https://hdl.handle.net/21.11116/0000-0005-4817-1

##### Abstract

Left-right symmetry at high energy scales is a well-motivated extension of

the Standard Model. In this paper we consider a typical minimal scenario in

which it gets spontaneously broken by scalar triplets. Such a realization has

been scrutinized over the past few decades chiefly in the context of collider

studies. In this work we take a complementary approach and investigate whether

the model can be probed via the search for a stochastic gravitational wave

background induced by the phase transition in which $SU(3)_C \times SU(2)_L

\times SU(2)_R \times U(1)_{B-L}$ is broken down to the Standard Model gauge

symmetry group. A prerequisite for gravitational wave production in this

context is a first-order phase transition, the occurrence of which we find in a

significant portion of the parameter space. Although the produced gravitational

waves are typically too weak for a discovery at any current or future detector,

upon investigating correlations between all relevant terms in the scalar

potential, we have identified values of parameters leading to observable

signals. This indicates that, given a certain moderate fine-tuning, the minimal

left-right symmetric model with scalar triplets features another powerful probe

which can lead to either novel constraints or remarkable discoveries in the

near future. Let us note that some of our results, such as the full set of

thermal masses, have to the best of our knowledge not been presented before and

might be useful for future studies, in particular in the context of electroweak

baryogenesis.

the Standard Model. In this paper we consider a typical minimal scenario in

which it gets spontaneously broken by scalar triplets. Such a realization has

been scrutinized over the past few decades chiefly in the context of collider

studies. In this work we take a complementary approach and investigate whether

the model can be probed via the search for a stochastic gravitational wave

background induced by the phase transition in which $SU(3)_C \times SU(2)_L

\times SU(2)_R \times U(1)_{B-L}$ is broken down to the Standard Model gauge

symmetry group. A prerequisite for gravitational wave production in this

context is a first-order phase transition, the occurrence of which we find in a

significant portion of the parameter space. Although the produced gravitational

waves are typically too weak for a discovery at any current or future detector,

upon investigating correlations between all relevant terms in the scalar

potential, we have identified values of parameters leading to observable

signals. This indicates that, given a certain moderate fine-tuning, the minimal

left-right symmetric model with scalar triplets features another powerful probe

which can lead to either novel constraints or remarkable discoveries in the

near future. Let us note that some of our results, such as the full set of

thermal masses, have to the best of our knowledge not been presented before and

might be useful for future studies, in particular in the context of electroweak

baryogenesis.