%0 Generic %1 willenbrock2022width %A Willenbrock, Scott %D 2022 %K decay %T Mass and width of an unstable particle %U http://arxiv.org/abs/2203.11056 %X We show that the mass and width of an unstable particle are precisely defined by the pole in the complex energy plane, $= m - (i/2)\Gamma$, by using the defining relationship between the width and the lifetime, $\Gamma = 1/\tau$. We find that the physical $Z$ boson mass lies 26 MeV below its quoted value, while the physical $W$ boson mass lies 20 MeV below. We also clarify the various Breit-Wigner formulae that are used to describe a resonance.

@misc{willenbrock2022width, abstract = {We show that the mass and width of an unstable particle are precisely defined by the pole in the complex energy plane, $\mu = m - (i/2)\Gamma$, by using the defining relationship between the width and the lifetime, $\Gamma = 1/\tau$. We find that the physical $Z$ boson mass lies 26 MeV below its quoted value, while the physical $W$ boson mass lies 20 MeV below. We also clarify the various Breit-Wigner formulae that are used to describe a resonance.}, added-at = {2022-04-06T07:47:18.000+0200}, author = {Willenbrock, Scott}, biburl = {https://www.bibsonomy.org/bibtex/22769d0c84ca084c28b4aa11de6de05f8/mg94}, description = {2203.11056.pdf}, interhash = {838a6e721088ff7f7b78d7f2841e661f}, intrahash = {2769d0c84ca084c28b4aa11de6de05f8}, keywords = {decay}, note = {cite arxiv:2203.11056Comment: 6 pages, 1 figure}, timestamp = {2022-04-06T07:47:18.000+0200}, title = {Mass and width of an unstable particle}, url = {http://arxiv.org/abs/2203.11056}, year = 2022 }