59,135 research outputs found

    The least common multiple of a sequence of products of linear polynomials

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    Let f(x)f(x) be the product of several linear polynomials with integer coefficients. In this paper, we obtain the estimate: loglcm(f(1),...,f(n))An\log {\rm lcm}(f(1), ..., f(n))\sim An as nn\rightarrow\infty , where AA is a constant depending on ff.Comment: To appear in Acta Mathematica Hungaric

    A left-right symmetric model with SU(2)-triplet fermions

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    We consider an SU(3)cSU(2)LSU(2)RU(1)BLSU(3)_c \otimes SU(2)_L \otimes SU(2)_R \otimes U(1)_{B-L} left-right symmetric model with three Higgs scalars including an SU(2)LSU(2)_L doublet, an SU(2)RSU(2)_R doublet and an SU(2)LSU(2)RSU(2)_L \otimes SU(2)_R bidoublet. In addition to usual SU(2)-doublet fermions, our model contains SU(2)-triplet fermions with Majorana masses. The neutral components of the left-handed triplets can contribute a canonical seesaw while the neutral components of the right-handed triplets associated with the right-handed neutrinos can contribute a double/inverse-type seesaw. Our model can be embedded into an SO(10) grand unification theory where the triplets belong to the 45=(1,3,1,0)(1,1,3,0)...45=(1,3,1,0) \oplus (1,1,3,0)\oplus ... representations.Comment: 4 pages. To appear in Phys. Rev.

    Radiative seesaw in left-right symmetric model

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    There are some radiative origins for the neutrino masses in the conventional left-right symmetric models with the usual bi-doublet and triplet Higgs scalars. These radiative contributions could dominate over the tree-level seesaw and could explain the observed neutrino masses.Comment: 5 pages, 3 figures. Revised version with minor change. Accepted by PR
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