tag:blogger.com,1999:blog-7315236707728759521.post2818851104984972026..comments2024-03-27T22:28:06.861-06:00Comments on Dispatches From Turtle Island: The Not Quite Boson-Fermion Mass Symmetry ConsideredAndrew Oh-Willekehttp://www.blogger.com/profile/02537151821869153861noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-7315236707728759521.post-1326216154010891142014-03-03T15:24:43.975-07:002014-03-03T15:24:43.975-07:00I used global best fit values for the W and t mass...I used global best fit values for the W and t masses and adjusted the conventionally accepted Higgs vev for the difference in the W boson mass (in the Standard Model Higgs vev (W, g)=f(g)*W).<br /><br />The numbers match using the currently accepted PDG values of the masses (in the case of the Higgs vev, a precise consensus value based on measuring the Fermi coupling constant from muon decay, from pre-print rather than the less exact PDG value). Specifically (in GeV/c^2 units):<br /><br />Higgs vev=246.2279579<br />W=80.385<br />Z=91.1876<br />tau=1.776<br />H=W+(Z/2)=125.9788<br />c=1.275 (pole mass 1.67)<br />b=4.18 (pole mass 4.78)<br />s=0.095<br />t=173.07<br /><br />The following masses are ignored:<br />u=0.0023<br />d=0.0048<br />e=0.000511<br />tau neutrino=52 meV<br />muon neutrino=8 meV<br />electron neutrino=1 meV<br /><br />The sum of squared masses for these six fundamental fermions is < 0.0001 GeV^2 and I made my calculations to an already spurious accuracy of 0.01 GeV^2. In general, the formula is insensitive to a small number of new particles so long as they have masses < O(0.07 GeV).<br /><br />The pole masses are a slightly better fit using the PDG value than the MS masses. <br /><br />Using all values but the t quark mass and fitting the t mass to the equation gives a t mass of 173.066 using pole masses and 173.085 using MS masses. But, rounding errors and uncertainties in the underlying values make these values insignificantly different from each other statistically. The measured t quark mass of 173.07 is to +/- 0.888 GeV.<br /><br />The Higgs mass used of 125.9788 is consistent with the current measured value of 125.9+/-0.4 per PDG.<br /><br />Recent precision measurements have put b=4.169 on an MS mass basis and c=1.273 on an MS mass basis, both with greater precision. The percentage differences from this greater precision in these two very tiny values is pretty much immaterial since it is so small relative to other uncertainties (dominated by the t mass uncertainty).andrewhttps://www.blogger.com/profile/08172964121659914379noreply@blogger.comtag:blogger.com,1999:blog-7315236707728759521.post-12330272973626241912013-12-10T14:51:12.714-07:002013-12-10T14:51:12.714-07:00This post extends previous analysis here.This post extends previous analysis <a href="http://dispatchesfromturtleisland.blogspot.com/2013/08/higgs-numerology-from-lp-c-paper-and.html" rel="nofollow">here.</a>andrewhttps://www.blogger.com/profile/08172964121659914379noreply@blogger.comtag:blogger.com,1999:blog-7315236707728759521.post-54557267269092694782013-09-26T23:16:40.082-06:002013-09-26T23:16:40.082-06:00Nice post. Nice post. Mitchellhttps://www.blogger.com/profile/10768655514143252049noreply@blogger.com