Probing the $B+L$ violation process with the observation of cosmic magnetic field. (arXiv:2107.08978v1 [hep-ph])

Probing the $B+L$ violation process with the observation of cosmic magnetic field. (arXiv:2107.08978v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Di_Y/0/1/0/all/0/1">Yuefeng Di</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Wang_J/0/1/0/all/0/1">Jialong Wang</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Bian_L/0/1/0/all/0/1">Ligong Bian</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Cai_R/0/1/0/all/0/1">Rong-Gen Cai</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Liu_J/0/1/0/all/0/1">Jing Liu</a>

We numerically investigate the $B+L$ violation process by performing
three-dimensional lattice simulations of a unified scenario of first-order
phase transitions and the sphaleron generation. The simulation results indicate
that the Chern-Simons number changes along with the helical magnetic field
production when the sphaleron decay occurs. Based on these numerical results,
we then propose a novel method to probe the baryon asymmetry generation of the
Universe, which is a general consequence of the electroweak sphaleron process,
through the astronomical observation of corresponding helical magnetic fields.

We numerically investigate the $B+L$ violation process by performing
three-dimensional lattice simulations of a unified scenario of first-order
phase transitions and the sphaleron generation. The simulation results indicate
that the Chern-Simons number changes along with the helical magnetic field
production when the sphaleron decay occurs. Based on these numerical results,
we then propose a novel method to probe the baryon asymmetry generation of the
Universe, which is a general consequence of the electroweak sphaleron process,
through the astronomical observation of corresponding helical magnetic fields.

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