Probing Left-Right Symmetry via Gravitational Waves from Domain Walls. (arXiv:2205.12220v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Borah_D/0/1/0/all/0/1">Debasish Borah</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Dasgupta_A/0/1/0/all/0/1">Arnab Dasgupta</a>

We propose a novel way of probing the scale of left-right symmetry breaking
in the context of left-right symmetric models (LRSM). In LRSM, the right handed
fermions transform as doublets under a newly introduced $SU(2)_R$ gauge
symmetry. This, along with a discrete parity symmetry $mathcal{P}$ ensuring
identical gauge couplings of left and right sectors make the model left-right
symmetric, providing a dynamical origin of parity violation in electroweak
interactions via spontaneous symmetry breaking. The spontaneous breaking of
$mathcal{P}$ leads to the formation of domain walls in the early universe.
These walls, if made unstable by introducing an explicit parity breaking term,
generate gravitational waves (GW) with a spectrum characterized by the wall
tension or the spontaneous parity breaking scale, and the explicit
$mathcal{P}$ breaking term. Considering explicit $mathcal{P}$ breaking terms
to originate from Planck suppressed operators provides one-to-one
correspondence between the scale of left-right symmetry and sensitivities of
near future GW experiments. This is not only complementary to collider and low
energy probes of TeV scale LRSM but also to GW generated from first order phase
transition in LRSM with different spectral shape, peak frequencies as well as
symmetry breaking scales.

We propose a novel way of probing the scale of left-right symmetry breaking
in the context of left-right symmetric models (LRSM). In LRSM, the right handed
fermions transform as doublets under a newly introduced $SU(2)_R$ gauge
symmetry. This, along with a discrete parity symmetry $mathcal{P}$ ensuring
identical gauge couplings of left and right sectors make the model left-right
symmetric, providing a dynamical origin of parity violation in electroweak
interactions via spontaneous symmetry breaking. The spontaneous breaking of
$mathcal{P}$ leads to the formation of domain walls in the early universe.
These walls, if made unstable by introducing an explicit parity breaking term,
generate gravitational waves (GW) with a spectrum characterized by the wall
tension or the spontaneous parity breaking scale, and the explicit
$mathcal{P}$ breaking term. Considering explicit $mathcal{P}$ breaking terms
to originate from Planck suppressed operators provides one-to-one
correspondence between the scale of left-right symmetry and sensitivities of
near future GW experiments. This is not only complementary to collider and low
energy probes of TeV scale LRSM but also to GW generated from first order phase
transition in LRSM with different spectral shape, peak frequencies as well as
symmetry breaking scales.

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