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3 votes
1 answer
163 views

How do the different Neutrino masses come about?

The determination of the Neutrino mass can be roughly divided in three strategies: The neutrino mass from cosmological observations: $$m_\nu = \sum_{i} m_i $$ The neutrino mass from the neutrinoless ...
Marc's user avatar
  • 71
2 votes
0 answers
79 views

Number and masses of right-handed neutrinos in the seesaw mechanism

In the Wikipedia article about the seesaw mechanism, it is argued that the seesaw mechanism "extends the Standard Model by assuming two or more additional right-handed neutrino fields", with ...
LCF2's user avatar
  • 95
2 votes
1 answer
326 views

The neutrinoless double beta decay can only occur if $\dots$

In Wikipedia https://en.wikipedia.org/wiki/Neutrinoless_double_beta_decay#Overview it says that The neutrinoless double beta decay can only occur if (1) the neutrino particle is Majorana, and (2) ...
ann marie cœur's user avatar
0 votes
0 answers
79 views

CP violation phases counting in neutrino flavor mixing sector with $N$ sterile neutrinos

In the quark sector, the CKM matrix is obtained from (see p.723 of Peskin QFT) $$ V_{CKM} =U_u^\dagger U_d = \begin{bmatrix} V_{ud} & V_{us} & V_{ub} \\V_{cd} & V_{cs} & V_{cb} \\ V_{...
ann marie cœur's user avatar
0 votes
0 answers
85 views

Flavor mixing Higgs Yukawa term with both left and right chiral neutrinos and with generic masses

In p.727 of Peskin QFT, it derives a flavor mixing Higgs Yukawa term, but he assumes that the neutrinos have no mass. However we know that we can include both left and right chiral neutrinos, and also ...
1 vote
0 answers
177 views

How to give left-handed neutrinos alone Majorana mass?

The Wikipedia page on Georgi–Glashow model says Fermions transforming as a 1 under SU(5) are now thought to be necessary because of the evidence for neutrino oscillations, unless a way is found to ...
ann marie cœur's user avatar
0 votes
1 answer
39 views

Why does this distribution function depend on time and not temperature?

When reading Sterile neutrino hot, warm, and cold dark matter I came across the following momentum distribution function for a neutrino species $\alpha$: $$\tag{5.8} f(p,t) = \frac{1}{e^{E(p)/T + \...
user7077252's user avatar
6 votes
1 answer
201 views

Does our failure to detect neutrinoless double beta decay spell trouble for the seesaw mechanism?

The seesaw mechanism is a theoretical model of neutrino masses that has the side benefit of (arguably) naturally explaining why neutrinos are so much lighter than the other massive Standard Model ...
tparker's user avatar
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2 votes
1 answer
528 views

How can we calculate the PMNS matrix in general?

If we only introduce Dirac mass terms for neutrinos, we have analogous to the quark mass matrices, a normal $3 \times 3$ neutrino mass matrix $M_\nu$, written in the basis: $(\nu_L^1,\nu_L^2,\nu_L^3)...
jak's user avatar
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1 vote
0 answers
71 views

Is it possible that are particle is much heavier through a loop correction?

Let's assume, we have standard model singlet particle $s$, that mixes after electroweak symmetry breaking with an exotic, vectorlike neutral lepton $N$. The relevant part of the Lagrangian reads $$ L ...
jak's user avatar
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2 votes
1 answer
165 views

Why are the radiatively generated neutrino masses finite?

In the Zee model and the Ma model of radiative neutrino masses, a naturally small neutrino mass is generated at the one-loop level. But loop diagrams are generally divergent. There is no mass at the ...
SRS's user avatar
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6 votes
2 answers
1k views

Can a Majorana field $\psi$ be charged under some $U(1)$ with a charge other than zero?

I know Majorana particles have to be electrically neutral because electric charged is conserved. My question, however, is whether at all a Majorana field $\psi$ be charged under any $U(1)$ (other ...
SRS's user avatar
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1 vote
1 answer
116 views

Can the Mikheyev-Smirnov-Wolfenstein (MSW) effect be modified by non-standard neutrino-neutrino interactions?

The MSW effect describes how propagation of neutrinos through matter can resonantly enhance the neutrino mixing. The reason for this enhancement is that the presence of electrons in matter changes the ...
Thomas's user avatar
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4 votes
1 answer
521 views

Flavour symmetries of neutrino and charged lepton mass matrices

The symmetry of neutrino mass matrix $M_\nu$ is often realized as $$G^TM_\nu G=M_\nu$$ where $G$ is an element of the corresponding symmetry group. Is this because the neutrinos are Majorana in nature?...
SRS's user avatar
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5 votes
4 answers
1k views

Calculating the $\mu\rightarrow e\gamma$ decay and cancellation between diagrams

In the book “Gauge theory of elementary particles-Cheng and Li, section 13.3, the $\mu\rightarrow e\gamma$ decay amplitude is calculated in the $R_{\xi}$ gauge. Regarding this derivation, I'm stuck ...
SRS's user avatar
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