tag:blogger.com,1999:blog-7315236707728759521.post7782867661581471384..comments2024-03-27T22:28:06.861-06:00Comments on Dispatches From Turtle Island: CKM and PMNS Matrix NumerologyAndrew Oh-Willekehttp://www.blogger.com/profile/02537151821869153861noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-7315236707728759521.post-53496936578602734012014-08-14T12:43:05.994-06:002014-08-14T12:43:05.994-06:00The precision of the PMNS matrix angle measurement...The precision of the PMNS matrix angle measurements is not very precise. Two of the angles have a MOE of roughly +/-5% and the third has a MOE of roughly +/- 3%. The combined MOE from the three measurements is on the order of +/- 7.8%, and when you add the uncertainty in the CKM matrix angles you are closer to +/- 8%. So the ratios coincide to within 1 sigma.andrewhttps://www.blogger.com/profile/08172964121659914379noreply@blogger.comtag:blogger.com,1999:blog-7315236707728759521.post-23228823593686244352014-08-12T17:11:30.635-06:002014-08-12T17:11:30.635-06:00Are you sure that this is the case?
I calculated ...Are you sure that this is the case?<br /><br />I calculated a value of 2.69 for theta12*theta23/theta13 for CKM.<br /><br />But for PMNS, I calculated a value of 2.87 (using 2014 data) and 2.80 (using 2012 data) for theta12*theta23/theta13.<br /><br />The values are close, but I'm not sure if they are exactly the same. But I do agree with you that there is likely a connection between the CKM and the PMNS matrix, and that there are less than 4 free variables for each matrix.<br /><br />Also, as for the "new study" that you link to at the end of the post. The paper does not rule out a 7.1 keV sterile neutrino as long as sinsquaredtheta is less than ~10^-9.<br />The value for sinsquaredtheta from Bulbul et al. and Boyarsky et al. is ~2*10^-11. For it looks like this 3.55 keV signal could still be half of the energy in the decay of a sterile neutrino into a light active neutrino.<br />Anonymousnoreply@blogger.com