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Etude et impact du bruit de fond corrélé pour la mesure de l'angle ...

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2.2 Neutrino history in brief 19<br />

mass term through the so called Higgs mechanism which couples the righthan<strong>de</strong>d<br />

singl<strong>et</strong>s with the left-han<strong>de</strong>d doubl<strong>et</strong>s via the Yukawa coupling constant,<br />

providing masses of the form of:<br />

L Y = m l l L l R + m q q L q R + h.c. (2.2)<br />

where the mass term for the fermions (as example) is given by m l :<br />

m l = v p<br />

2<br />

l (2.3)<br />

tel-00821629, version 1 - 11 May 2013<br />

where v is the vacuum expectation value of the Higgs field and i is the<br />

Yukawa coupling constant, that assumes di↵erent values for the di↵erent<br />

fermions. To exp<strong>la</strong>in the observed masses, i varies from ⇠1 for the heaviest<br />

fermion, the quark top, to ⇠10 5 for the lighter charged fermion, the<br />

electron.<br />

Since the observed neutrinos are only left-han<strong>de</strong>d, they are not allowed to<br />

acquire mass though the Higgs mechanism, remaining massless in the SM.<br />

The SM provi<strong>de</strong>s a beautiful theor<strong>et</strong>ical mo<strong>de</strong>l which is able to accommodate<br />

most of the present knowledge on electroweak and strong interactions.<br />

It is able to exp<strong>la</strong>in many experimental facts and, in some cases, it has successfully<br />

passed very precise tests. Even the long search for the Higgs boson<br />

has recently provi<strong>de</strong>d conclusive evi<strong>de</strong>nce for the discovery of a new particle,<br />

consistent with the SM Higgs boson hypothesis [11].<br />

In spite of the impressive phenomenological success, the SM leaves many<br />

unanswered questions to be consi<strong>de</strong>red as a compl<strong>et</strong>e <strong>de</strong>scription of the fundamental<br />

forces. There is no un<strong>de</strong>rstanding regarding the existence of three<br />

(and only three) fermions families as well as their origins. There is no answer<br />

to the observed mass spectrum and mixing pattern. These, and others<br />

questions remain open and require new physics beyond the SM. As will<br />

be stressed in the rest of this chapter, first hint from such new physics has<br />

emerged with evi<strong>de</strong>nce of neutrino oscil<strong>la</strong>tions.<br />

2.2 Neutrino history in brief<br />

The neutrino was postu<strong>la</strong>ted by Pauli in 1930 as an e↵ort to exp<strong>la</strong>in the continuous<br />

electron energy spectrum observed in nuclear <strong>de</strong>cays [82]. Pauli<br />

proposed a new particle, electrically neutral to conserve charge, with spin<br />

1/2 to conserve angu<strong>la</strong>r momentum, weakly interacting since it was not d<strong>et</strong>ected<br />

at that time and with a mass lighter than the electron. Following the<br />

discovery of the neutron by Chadwick in 1932 , Fermi exp<strong>la</strong>ined theor<strong>et</strong>ically<br />

the -<strong>de</strong>cay [58] as the <strong>de</strong>cay of a neutron in proton, electron and a<br />

neutrino:<br />

n ! p + e + ⌫ e (2.4)

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