Pierre Ramond - Academia.edu (original) (raw)

Papers by Pierre Ramond

Research paper thumbnail of Complex Spinors and Unified Theories

arXiv (Cornell University), Jun 19, 2013

Research paper thumbnail of Tri-Bi-Maximal Mixing in Asymmetric Textures

arXiv (Cornell University), Jul 26, 2022

Research paper thumbnail of Yoichiro Nambu

Physics Today, Oct 1, 2015

Research paper thumbnail of Quasi-degenerate neutrinos from an Abelian family symmetry

Nuclear Physics B, Jul 1, 1997

Research paper thumbnail of Hommage a Nambu

arXiv (Cornell University), Mar 25, 2016

Research paper thumbnail of Dannie Heineman Prize Lecture: From Dual Resonance Models to Superstrings

Bulletin of the American Physical Society, Apr 11, 2015

Research paper thumbnail of Anomalous Abelian symmetry in the standard model

Research paper thumbnail of Mass and Mixing Angle Patterns in the Standard Model and Its Minimal Supersymmetric Extension

Research paper thumbnail of Classification of compact simple Lie algebras

Research paper thumbnail of Extensions of the Standard Model

Business Taxation and Financial Decisions, 2010

The “Standard Model” for tax planning introduced in Chap. 3 is considerably simple. To adjust the... more The “Standard Model” for tax planning introduced in Chap. 3 is considerably simple. To adjust the model to reality, some rigorous assumptions will be removed in this section. For example, capital gains taxation will be integrated. One major focus to make our model more realistic is to introduce limited loss offset rules. Moreover, further adjustments to meet current law are discussed. After reading this chapter, you are able to evaluate investment alternatives by adjusting the “Standard Model” to basic tax law details applied in your home country.

Research paper thumbnail of The Five Instructions (TASI 2011)

WORLD SCIENTIFIC eBooks, Feb 1, 2013

Research paper thumbnail of Architecture des interactions fondamentales á courte distance = Architecture of fundamental interactions at short distances

Research paper thumbnail of The Freund–Rubin coset, textures and group theory

Journal of Physics A: Mathematical and Theoretical, 2020

Research paper thumbnail of Stitching an Asymmetric Texture with <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi mathvariant="script">T</mi><mn>13</mn></msub></mrow><annotation encoding="application/x-tex">\mathcal{T}_{13}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathcal" style="margin-right:0.25417em;">T</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.2542em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">13</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>

arXiv (Cornell University), Jul 24, 2019

We propose T13 = Z13 Z3 as the underlying non-Abelian discrete family symmetry of the asymmetric ... more We propose T13 = Z13 Z3 as the underlying non-Abelian discrete family symmetry of the asymmetric texture presented in [1]. Its mod 13 arithmetic distinguishes each Yukawa matrix element of the texture. We construct a model of effective interactions that singles out the asymmetry and equates, without finetuning, the products of down-quark and charged-lepton masses at a GUT-like scale.

Research paper thumbnail of Neutrino masses, theμ-term, andPSL2(7)

Physical Review D, Oct 19, 2015

Using an SO(10)-inspired form for the Dirac neutrino mass, we map the neutrino data to right-hand... more Using an SO(10)-inspired form for the Dirac neutrino mass, we map the neutrino data to right-handed neutrino Majorana mass-matrix, M, and investigate a special form with seesaw tribimaximal mixing; it predicts a normal hierarchy, and the values of the light neutrino masses. It may be generated by mapping the top quark hierarchy onto the vacuum values of familon fields transforming under the family group PSL2(7). We next investigate the hypothesis that these familons play a dual role, generating a hierarchy in the supersymmetric µ-mass matrix of Higgses carrying family quantum numbers. A special PSL2(7) invariant coupling produces a µ-matrix with a hierarchy of thirteen orders of magnitude. Only one Higgs field (per hypercharge sector) is light enough (with a µ-mass ∼ 10 − 100 GeV) to be destabilized by SUSY soft breaking at the TeV scale, and upon spontaneous symmetry breaking, gives tree-level masses for the heaviest family.

Research paper thumbnail of Neutral lepton mass matrix

~ R g2~ R change a left-handed particle into a right-handed antiparticle, and is to be identlfied... more ~ R g2~ R change a left-handed particle into a right-handed antiparticle, and is to be identlfied with CP. As an example,~ L can represent a lefthanded neutrino and ap~ L* a right-handed antineutrino. Contrast this situation with that of an electron which is respresented by both e L and eR; e L is the weak interaction eigenstate, but since the electron has mass it no longer corresponds to a definite helicity state but rather to a handedness.

Research paper thumbnail of Accommodate the Neutrino Mixing Angle <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>θ</mi><mn>13</mn></msub></mrow><annotation encoding="application/x-tex">\theta_{13}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8444em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.02778em;">θ</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">13</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> within SU(5)

Bulletin of the American Physical Society, 2014

Research paper thumbnail of Hommage à Nambu

Research paper thumbnail of Curvature of Super Diff(S/sup 1/)/S/sup 1/

Motivated by the work of Bowick and Rajeev, we calculate the curvature of the infinite-dimensiona... more Motivated by the work of Bowick and Rajeev, we calculate the curvature of the infinite-dimensional flag manifolds DiffS/sup 1//S/sup 1/ and Super DiffS/sup 1//S/sup 1/ using standard finite-dimensional coset space techniques. We regularize the infinity by zeta-function regularization and recover the conformal and superconformal anomalies respectively for a specific choice of the torsion.

Research paper thumbnail of A note on the quark content of large color groups

Research paper thumbnail of Complex Spinors and Unified Theories

arXiv (Cornell University), Jun 19, 2013

Research paper thumbnail of Tri-Bi-Maximal Mixing in Asymmetric Textures

arXiv (Cornell University), Jul 26, 2022

Research paper thumbnail of Yoichiro Nambu

Physics Today, Oct 1, 2015

Research paper thumbnail of Quasi-degenerate neutrinos from an Abelian family symmetry

Nuclear Physics B, Jul 1, 1997

Research paper thumbnail of Hommage a Nambu

arXiv (Cornell University), Mar 25, 2016

Research paper thumbnail of Dannie Heineman Prize Lecture: From Dual Resonance Models to Superstrings

Bulletin of the American Physical Society, Apr 11, 2015

Research paper thumbnail of Anomalous Abelian symmetry in the standard model

Research paper thumbnail of Mass and Mixing Angle Patterns in the Standard Model and Its Minimal Supersymmetric Extension

Research paper thumbnail of Classification of compact simple Lie algebras

Research paper thumbnail of Extensions of the Standard Model

Business Taxation and Financial Decisions, 2010

The “Standard Model” for tax planning introduced in Chap. 3 is considerably simple. To adjust the... more The “Standard Model” for tax planning introduced in Chap. 3 is considerably simple. To adjust the model to reality, some rigorous assumptions will be removed in this section. For example, capital gains taxation will be integrated. One major focus to make our model more realistic is to introduce limited loss offset rules. Moreover, further adjustments to meet current law are discussed. After reading this chapter, you are able to evaluate investment alternatives by adjusting the “Standard Model” to basic tax law details applied in your home country.

Research paper thumbnail of The Five Instructions (TASI 2011)

WORLD SCIENTIFIC eBooks, Feb 1, 2013

Research paper thumbnail of Architecture des interactions fondamentales á courte distance = Architecture of fundamental interactions at short distances

Research paper thumbnail of The Freund–Rubin coset, textures and group theory

Journal of Physics A: Mathematical and Theoretical, 2020

Research paper thumbnail of Stitching an Asymmetric Texture with <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi mathvariant="script">T</mi><mn>13</mn></msub></mrow><annotation encoding="application/x-tex">\mathcal{T}_{13}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathcal" style="margin-right:0.25417em;">T</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.2542em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">13</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>

arXiv (Cornell University), Jul 24, 2019

We propose T13 = Z13 Z3 as the underlying non-Abelian discrete family symmetry of the asymmetric ... more We propose T13 = Z13 Z3 as the underlying non-Abelian discrete family symmetry of the asymmetric texture presented in [1]. Its mod 13 arithmetic distinguishes each Yukawa matrix element of the texture. We construct a model of effective interactions that singles out the asymmetry and equates, without finetuning, the products of down-quark and charged-lepton masses at a GUT-like scale.

Research paper thumbnail of Neutrino masses, theμ-term, andPSL2(7)

Physical Review D, Oct 19, 2015

Using an SO(10)-inspired form for the Dirac neutrino mass, we map the neutrino data to right-hand... more Using an SO(10)-inspired form for the Dirac neutrino mass, we map the neutrino data to right-handed neutrino Majorana mass-matrix, M, and investigate a special form with seesaw tribimaximal mixing; it predicts a normal hierarchy, and the values of the light neutrino masses. It may be generated by mapping the top quark hierarchy onto the vacuum values of familon fields transforming under the family group PSL2(7). We next investigate the hypothesis that these familons play a dual role, generating a hierarchy in the supersymmetric µ-mass matrix of Higgses carrying family quantum numbers. A special PSL2(7) invariant coupling produces a µ-matrix with a hierarchy of thirteen orders of magnitude. Only one Higgs field (per hypercharge sector) is light enough (with a µ-mass ∼ 10 − 100 GeV) to be destabilized by SUSY soft breaking at the TeV scale, and upon spontaneous symmetry breaking, gives tree-level masses for the heaviest family.

Research paper thumbnail of Neutral lepton mass matrix

~ R g2~ R change a left-handed particle into a right-handed antiparticle, and is to be identlfied... more ~ R g2~ R change a left-handed particle into a right-handed antiparticle, and is to be identlfied with CP. As an example,~ L can represent a lefthanded neutrino and ap~ L* a right-handed antineutrino. Contrast this situation with that of an electron which is respresented by both e L and eR; e L is the weak interaction eigenstate, but since the electron has mass it no longer corresponds to a definite helicity state but rather to a handedness.

Research paper thumbnail of Accommodate the Neutrino Mixing Angle <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>θ</mi><mn>13</mn></msub></mrow><annotation encoding="application/x-tex">\theta_{13}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8444em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.02778em;">θ</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0278em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">13</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> within SU(5)

Bulletin of the American Physical Society, 2014

Research paper thumbnail of Hommage à Nambu

Research paper thumbnail of Curvature of Super Diff(S/sup 1/)/S/sup 1/

Motivated by the work of Bowick and Rajeev, we calculate the curvature of the infinite-dimensiona... more Motivated by the work of Bowick and Rajeev, we calculate the curvature of the infinite-dimensional flag manifolds DiffS/sup 1//S/sup 1/ and Super DiffS/sup 1//S/sup 1/ using standard finite-dimensional coset space techniques. We regularize the infinity by zeta-function regularization and recover the conformal and superconformal anomalies respectively for a specific choice of the torsion.

Research paper thumbnail of A note on the quark content of large color groups