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Neutrinos can't be givencannot have Dirac masses because there isare no $SU(2)_L$ singlet right handed-handed neutrinos in the standard modelStandard Model (SM). But can neutrinos be given Majorana masses in the standard modelSM?

EDIT: Why I heard that Majorana mass term cannot be included for neutrinos in the $SU(2)_L\times U(1)_Y$ standard modelSM without any modification or extension. Why is that?

Neutrinos can't be given Dirac masses because there is no $SU(2)_L$ singlet right handed neutrinos in the standard model. But can neutrinos be given Majorana masses in the standard model?

EDIT: Why Majorana mass term cannot be included for neutrinos in the $SU(2)_L\times U(1)_Y$ standard model without any modification?

Neutrinos cannot have Dirac masses because there are no $SU(2)_L$ singlet right-handed neutrinos in the Standard Model (SM). But can neutrinos be given Majorana masses in the SM? I heard that Majorana mass term cannot be included for neutrinos in the $SU(2)_L\times U(1)_Y$ SM without any modification or extension. Why is that?

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Neutrinos can't be given Dirac masses because there is no $SU(2)_L$ singlet right handed neutrinos in the standard model. But can neutrinos be given Majorana masses in the standard model?

EDIT: Why Majorana mass term cannot be included for neutrinos in the $SU(2)_L\times U(1)_Y$ standard model without any modification?

Neutrinos can't be given Dirac masses because there is no $SU(2)_L$ singlet right handed neutrinos in the standard model. But can neutrinos be given Majorana masses in the standard model?

Neutrinos can't be given Dirac masses because there is no $SU(2)_L$ singlet right handed neutrinos in the standard model. But can neutrinos be given Majorana masses in the standard model?

EDIT: Why Majorana mass term cannot be included for neutrinos in the $SU(2)_L\times U(1)_Y$ standard model without any modification?

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Majorana Mass For Neutrinos In Standard Model

Neutrinos can't be given Dirac masses because there is no $SU(2)_L$ singlet right handed neutrinos in the standard model. But can neutrinos be given Majorana masses in the standard model?