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there were errors in the discussions that have been rectified in making this update and i should emphasize that
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The final states coming out with opposite spatial momenta, can happen only in the rest frame (center- of-mass frame) of the Higgs boson
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foxtrotpaparomeo.wordpress.com

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any1 out there who wants to know how is rest mass distinguished from "relativistic" mass this wiki entry helps... i must point out that i am usually inclined to call rest mass as invariant mass
en.wikipedia.org/wiki/Mass_in_

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loosely call m the rest mass of the particle and Lorentz symmetry says that this property of the particle is invariant as we apply lorentz group of transformations on the components of the four-momentum. that is, this mass stays as it is for an observer regardless of his motion relative to the particle he is watching. the thing i’m a little curious about is that what happens if lorentz symmetry breaks for as far as i am concerned, lorentz symmetry keeps the kinematics simple and my belief is that this kind of simplicity is unbreakable!

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updated it to include (19.9.1), which is more general in looks, while giving the initial higgs boson state full four-momentum with more than one spatial components, the final answer retains its basic form
foxtrotpaparomeo.wordpress.com

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the idea of violating Lorentz invariance has been around even in the late 1990s
arxiv.org/abs/hep-ph/9809521

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i knew the yankees would win this game no doubt about it (watch out for aaron boone, he might challenge an umpire again! not really) and i was not the only one happy, alice was also elated she used to bet against my favorite team, despite she's too busy these days in her engineering career till find time to watch
youtube.com/watch?v=wS89zcCXRm

yeah... 118 years later since the publication of SR, Einstein still standing to debunk all attemps to debunk him... Lorentz invariance really hard core and more formally, the Lorentz group! any1 out there can compare this absolute precision of 0.1−0.8% to the thickness of human hair?
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Bounds on Lorentz-violating couplings are extracted, and found to be compatible with Lorentz invariance with an absolute precision of 0.1−0.8%
. This search can also be interpreted as a precision test of special relativity with top quarks, improving precision by two orders of magnitude over a previous such measurement.
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cds.cern.ch/record/2859658

(musical break)
i used to be a fan of linkin park way back and decades earlier of the original miami vice tv series in the mid1980s, i was anticipating then there would be a remake the tv series with same actors from the movie
youtube.com/watch?v=hsprEupt6C

timely updates from cms experiments(LHC-CERN based) involving Higgs boson, experimental data from upgraded center-of-mass energy of 13TeV
arxiv.org/abs/2305.07532

take note that (17.3), which is the absolute square of my probability amplitude, doesn't have a factor 2 because i haven't taken into account yet the other spin states of the fermion and anti-fermion in the decay process and you may refer to (10.5) in the resource material i have shared in the earlier toot and you may also notice that in the cited resource material, the reduced matrix (10.4) and the reduced matrix contained in (14.7) in my draft are the same although i have used different notations/symbols
foxtrotpaparomeo.wordpress.com

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referring to equations (10.5), (10.6) in the resource notes for Higgs decay into a fermion anti-fermion pair
lectures.lapth.cnrs.fr/standar

against the blue jays this time and the yankees win convincingly (aaron boone is justified in his protest against the umpire calling it a strike despite the ball is too low for a strike)
youtube.com/watch?v=Wt8awwBsmS

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remembering ozamis city through this song. back in our elementary school years we started training in baseball in december. it was in the summer month of may that an interschool playoff to be hosted in that city, it was on a sunday that we arrived there and in that mess hall where all athletic delegates came to eat together, there was this public address system that entertained all the guests with visayan songs... (through the years, it still lingers in my memory)

youtube.com/watch?v=g3DwUreGVG

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this is it after what's been great yesterday! yankees behind by 5 runs but turned the game around in their favor
youtube.com/watch?v=ds5rEqgaCM

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