77,987 research outputs found
Seesaw mirroring between light and heavy Majorana neutrinos with the help of the reflection symmetry
In the canonical seesaw mechanism we require the relevant neutrino mass terms
to be invariant under the charge-conjugation transformations of left-
and right-handed neutrino fields. Then both the Dirac mass matrix and the right-handed neutrino mass matrix are well
constrained, so is the effective light Majorana neutrino mass matrix
via the seesaw formula. We find that these mass matrices can be classified into
22 categories, among which some textures respect the well-known -
permutation or reflection symmetry and flavor democracy. It is also found that
there exist remarkable structural equalities or similarities between
and , reflecting a seesaw mirroring relationship between light
and heavy Majorana neutrinos. We calculate the corresponding light neutrino
masses and flavor mixing parameters as well as the CP-violating asymmetries in
decays of the lightest heavy Majorana neutrino, and show that only the flavored
leptogenesis mechanism is possible to work for three categories of and in the reflection symmetry limit.Comment: 33 pages, 1 table. v2: matches the version accepted for publication
in JHE
Approximations of Stochastic Partial Differential Equations
In this paper we show that solutions of stochastic partial differential
equations driven by Brownian motion can be approximated by stochastic partial
differential equations forced by pure jump noise/random kicks. Applications to
stochastic Burgers equations are discussed
On q-summation and confluence
This paper is divided in two parts. In the first part we consider irregular
singular analytic q-difference equations, with q\in ]0,1[, and we show how the
Borel sum of a divergent solution of a differential equation can be uniformly
approximated on a convenient sector by a meromorphic solution of such a
q-difference equation. In the second part, we work under the assumption q\in
]1,+\infty[. In this case, at least four different q-Borel sums of a divergent
solution of an irregular singular analytic q-difference equations are spread in
the literature: under convenient assumptions we clarify the relations among
them.Comment: 36 pages. Following the referee's comments, we have clarified the
exposition of some proofs and corrected some misprint
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