Bloch wave function for the periodic sphaleron potential and unsuppressed baryon and lepton number violating processes

S.-H. Henry Tye and Sam S. C. Wong

Phys. Rev. D 92, 045005 – Published 5 August 2015

Abstract

For the periodic sphaleron potential in the electroweak theory, we find the one-dimensional time-independent Schrödinger equation with the Chern-Simons number as the coordinate, construct the Bloch wave function and determine the corresponding conducting (pass) band structure. We show that the baryon-lepton number violating processes can take place without the exponential tunneling suppression (at zero temperature) at energies around and above the barrier height (sphaleron energy) at 9.0 TeV. Phenomenologically, probable detection of such processes at the LHC is discussed.

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Received 28 May 2015

DOI:https://doi.org/10.1103/PhysRevD.92.045005

Authors & Affiliations

S.-H. Henry Tye^1,2,* and Sam S. C. Wong^1,†

¹Department of Physics and Jockey Club Institute for Advanced Study, Hong Kong University of Science and Technology, Hong Kong, China
²Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, New York 14853, USA

^*iastye@ust.hk
^†scswong@ust.hk

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Vol. 92, Iss. 4 — 15 August 2015

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Physical Review D

covering particles, fields, gravitation, and cosmology