We show that superstring inspired $E_6$ models can explain both the recently detected excess $eej... more We show that superstring inspired $E_6$ models can explain both the recently detected excess $eejj$ and $e\ \rm{missing}\ p_T \ jj$ signals at CMS, and also allow for leptogenesis. Working in a R-parity conserving low energy supersymmetric effective model, we show that the excess CMS events can be produced via the decay of exotic sleptons in Alternative Left-Right Symmetric Model of $E_6$, which can also accommodate leptogenesis at a high scale. On the other hand, either the $eejj$ excess or the $e\ \rm{missing}\ p_T \ jj$ excess can be produced via the decays of right handed gauge bosons, but some of these scenarios may not accommodate letptogenesis as there will be strong $B-L$ violation at low energy, which, along with the anomalous fast electroweak $B+L$ violation, will wash out all baryon asymmetry. Baryogenesis below the electroweak scale may then need to be implemented in these models.
We show that it is possible to realize a "mu-split SUSY" scenario [1] in the context of large vol... more We show that it is possible to realize a "mu-split SUSY" scenario [1] in the context of large volume limit of type IIB compactifications on Swiss-Cheese Calabi-Yau's in the presence of a mobile space-time filling D3-brane and a (stack of) D7-brane(s) wrapping the "big" divisor Sigma_B. For this, we investigate the possibility of getting one Higgs to be light while other to be heavy in addition to a heavy Higgsino mass parameter. Further, we examine the existence of long lived gluino that manifests one of the major consequences of mu-split SUSY scenario, by computing its decay width as well as lifetime corresponding to the 3-body decays of the gluino into a quark, a squark and a neutralino or Goldstino, as well as 2-body decays of the gluino into either a neutralino or a Goldstino and a gluon. Guided by the geometric Kaehler potential for Sigma_B obtained in [2] based on GLSM techniques, and the Donaldson's algorithm [3] for obtaining numerically a Ricci-flat metric, we give details of our calculation in [4] pertaining to our proposed metric for the full Swiss-Cheese Calabi-Yau, but for simplicity of calculation, close to Sigma_B, which is Ricci-flat in the large volume limit. Also, as an application of the one-loop RG flow solution for the Higgsino mass parameter, we show that the contribution to the neutrino masses at the EW scale from dimension-six operators arising from the Kaehler potential, is suppressed relative to the Weinberg-type dimension-five operators.
We point out that the discovery of a right-handed charged gauge boson $W_R^\pm$ with mass of arou... more We point out that the discovery of a right-handed charged gauge boson $W_R^\pm$ with mass of around a few TeV, for example through a signal of two leptons and two jets that has been reported by CMS to have a 2.8$\sigma$ local excess or through a signal of a resonance decaying into a pair of standard model (SM) gauge bosons showing a local excess of 3.4$\sigma$ (2.5$\sigma$ global) reported by ATLAS search, will rule out all possibilities of leptogenesis in all classes of the left-right symmetric extensions of the Standard Model (LRSM) with both triplet and doublet Higgs scalars due to the unavoidable fast gauge mediated $B-L$ violating interactions $e_{R}^{\pm} W_{R}^{\mp} \rightarrow e_{R}^{\mp} W_{R}^{\pm}$. Our conclusions are very general in the sense that they do not necessarily demand for a lepton number violating detection signal of $W_R^\pm$.
The local uplift via local SYZ mirror symmetry of (M)N (fractional)D3-branes, and wrapped N_f fla... more The local uplift via local SYZ mirror symmetry of (M)N (fractional)D3-branes, and wrapped N_f flavor D7-branes in the presence of a black-hole resulting in a non-Kaehler resolved warped deformed conifold (NKRWDC) in [1], was carried out in [2] and resulted in black M3-branes; the deviation from the ISD condition of G_3 proportional to the square of the resolution parameter, in the limits of [1] and MQGP limit of [2], imposed on (g_s,M,N), can be ignored [3]. The uplift, if valid globally, asymptotes to M5-branes wrapping a two-cycle (homologously an (large) integer sum of two-spheres) in AdS_5xM_6. Interestingly, in the limits of [1]/ [2], assuming the deformation > resolution, by estimating the five SU(3) structure torsion (\tau) classes W_{1,2,3,4,5} we show that \tau\in W_5 in the large-r limit, implying the NKRWDC reduces to a warped Kaehler deformed conifold. Further, the local T^3 of [2] in the large-r limit and the limits of [1] and the `MQGP' limit of [2], satisfies t...
ABSTRACT Within the framework of N=1 gauged supergravity, using a phenomenological model that can... more ABSTRACT Within the framework of N=1 gauged supergravity, using a phenomenological model that can be obtained locally as a Swiss-cheese Calabi-Yau string-theoretic compactification with a mobile D3-brane localized on a nearly special Lagrangian three cycle in the Calabi-Yau and fluxed stacks of wrapped D7-branes, and which provides a natural realization of μ-split supersymmetry (SUSY), we show that in addition to getting a significant value of an [electron/neutron (e/n)] electron dipole moment (EDM) at two-loop level, one can obtain a sizable contribution of (e/n) EDM even at one-loop level due to the presence of heavy supersymmetric fermions nearly isospectral with heavy sfermions. Unlike traditional split SUSY models in which the one-loop diagrams do not give significant contribution to the EDM of the electron/neutron because of very heavy sfermions existing as propagators in the loop, we show that one obtains a “healthy” value of the EDM in our model because of the presence of a heavy Higgsino, neutralino/chargino, and gaugino as fermionic propagators in the loops. The independent CP-violating phases are generated from nontrivial distinct phase factors associated with four Wilson line moduli [identified with first-generation leptons and quarks and their SU(2)L-singlet cousins] as well as the D3-brane position moduli (identified with two Higgses), and the same are sufficient to produce overall distinct phase factors corresponding to all possible effective Yukawas as well as effective gauge couplings that we discuss in the context of N=1 gauged supergravity action. However, the complex phases responsible to generate a nonzero EDM at one-loop level mainly appear from an off-diagonal contribution of sfermion as well as Higgs mass matrices at the electroweak scale (EW). In our analysis, we obtain a dominant contribution of the electron/neutron EDM around de/e≡O(10−29) cm from two-loop diagrams involving heavy sfermions and a light Higgs, and de/e≡O(10−32) cm from a one-loop diagram involving a heavy chargino and a light Higgs as propagators in the loop. The neutron EDM gets a dominant contribution of the order dn/e≡O(10−33) cm from the one-loop diagram involving SM-like quarks and Higgs. To justify the possibility of obtaining a large EDM value in the case of a Barr-Zee diagram which involves W± and the Higgs (responsible to generate the nontrivial CP-violating phase) in the two-loop diagrams as discussed by Leigh et al. [Nucl. Phys. B267, 509 (1986)], we provide an analysis of the same in the context of our D3/D7 μ-split SUSY model at the EW scale. By conjecturing that the CP-violating phase can appear from the diagonalization of the Higgs mass matrix obtained in the context of μ-split SUSY, we also get an EDM of the electron/neutron around O(10−27) e cm in the case of the two-loop diagram involving W± bosons.
ABSTRACT The Strominger–Yau–Zaslow (SYZ) mirror, in the ‘delocalised limit’ of Becker et al. (Nuc... more ABSTRACT The Strominger–Yau–Zaslow (SYZ) mirror, in the ‘delocalised limit’ of Becker et al. (Nucl Phys B 702:207, 2004), of \(N\) \(D3\)-branes, \(M\) fractional \(D3\)-branes and \(N_f\) flavour \(D7\)-branes wrapping a non-compact four-cycle in the presence of a black hole (BH) resulting in a non-Kähler resolved warped deformed conifold (NKRWDC) in Mia et al. (Nucl Phys B 839:187, 2010), was carried out in Dhuria and Misra (JHEP 1311:001, 2013) and resulted in black \(M3\)-branes. There are two parts in our paper. In the first we show that in the ‘MQGP’ limit discussed in Dhuria and Misra (JHEP 1311:001, 2013) a finite \(g_s\) (and hence expected to be more relevant to QGP), finite \(g_sM, N_f, g_s^2MN_f\) and very large \(g_sN\), and very small \(\frac{g_sM^2}{N}\), we have the following. (i) The uplift, if valid globally (like Dasgupta et al., Nucl Phys B 755:21, 2006) for fractional \(D3\) branes in conifolds), asymptotically goes to \(M5\)-branes wrapping a two-cycle (homologously a (large) integer sum of two-spheres) in \(\mathrm{AdS}_5\times M_6\). (ii) Assuming the deformation parameter to be larger than the resolution parameter, by estimating the five \(SU(3)\) structure torsion (\(\tau \)) classes \(W_{1,2,3,4,5}\) we verify that \(\tau \in W_5\) in the large-\(r\) limit, implying the NKRWDC reduces to a warped Kähler deformed conifold. (iii) The local \(T^3\) of Dhuria and Misra (JHEP 1311:001, 2013) in the large-\(r\) limit satisfies the same conditions as the maximal \(T^2\)-invariant special Lagrangian three-cycle of \(T^*S^3\) of Ionel and Min-OO (J Math 52(3), 2008), partly justifying use of SYZ-mirror symmetry in the ‘delocalised limit’ of Becker et al. (Nucl Phys B 702:207, 2004) in Dhuria and Misra (JHEP 1311:001, 2013). In the second part of the paper, by either integrating out the angular coordinates of the non-compact four-cycle which a \(D7\)-brane wraps around, using the Ouyang embedding, in the DBI action of a \(D7\)-brane evaluated at infinite radial boundary, or by dimensionally reducing the 11-dimensional EH action to five (\(\mathbb {R}^{1,3},r\)) dimensions and at the infinite radial boundary, we then calculate in particular the \(g_s\mathop {\sim }\limits ^{<}1\) (part of the ’MQGP’) limit, a variety of gauge and metric-perturbation-modes’ two-point functions using the prescription of Son and Starinets (JHEP 0209:042, 2002). We hence study the following. (i) The diffusion constant \(D\sim \frac{1}{T}\), (ii) the electrical conductivity \(\sigma \sim T\), (iii) the charge susceptibility \(\chi \sim T^2\), (iv) [using (i)–(iii)] the Einstein relation \(\frac{\sigma }{\chi }=D\), (v) the R-charge diffusion constant \(D_R\sim \frac{1}{T}\), and (vi) (using Dhuria and Misra, JHEP 1311:001, 2013) and Kubo’s formula related to shear viscosity \(\eta \)) the possibility of generating \(\frac{\eta }{s}=\frac{1}{4\pi }\) from solutions to the vector and tensor mode metric perturbations’ EOMs, separately. The results are also valid for the limits of Mia et al. (Nucl Phys B 839:187, 2010): \(g_s, \frac{g_sM^2}{N}, g_s^2MN_f\rightarrow 0\), \(g_sN, g_sM>>1\).
Within the framework of N=1 gauged supergravity, using a phenomenological model which can be obta... more Within the framework of N=1 gauged supergravity, using a phenomenological model which can be obtained locally as a Swiss-Cheese Calabi-Yau string-theoretic compactification with a mobile D3-brane localized on a nearly sLag three-cycle in the Calabi-Yau and fluxed stacks of wrapped D7-branes, and which provides a natural realization of mu-Split SUSY, we show that in addition to getting a significant value of electron/neutron EDM d_{e,n}/e at two-loop level, one can obtain a sizable contribution of d_{e,n}/e even at one-loop level. We obtain d_{e}/e ~ O(10^{-29}) cm from two-loop diagrams involving heavy sfermions and a light Higgs, and d_{e}/e ~ O(10^{-32}) cm from one-loop diagram involving heavy chargino and a light Higgs. Also, d_{n}/e ~ O(10^{-33}) cm from one-loop diagram involving SM-like quarks and Higgs. Next, by considering a Barr-Zee diagram involving W bosons and Higgs, and conjecturing that the CP-violating phase can appear from a linear combination of Higgs doublet obtained in the context of mu-split SUSY, we obtain d_{e,n}/e ~ O(10^{-27}) cm at two-loop level .
We show that superstring inspired $E_6$ models can explain both the recently detected excess $eej... more We show that superstring inspired $E_6$ models can explain both the recently detected excess $eejj$ and $e\ \rm{missing}\ p_T \ jj$ signals at CMS, and also allow for leptogenesis. Working in a R-parity conserving low energy supersymmetric effective model, we show that the excess CMS events can be produced via the decay of exotic sleptons in Alternative Left-Right Symmetric Model of $E_6$, which can also accommodate leptogenesis at a high scale. On the other hand, either the $eejj$ excess or the $e\ \rm{missing}\ p_T \ jj$ excess can be produced via the decays of right handed gauge bosons, but some of these scenarios may not accommodate letptogenesis as there will be strong $B-L$ violation at low energy, which, along with the anomalous fast electroweak $B+L$ violation, will wash out all baryon asymmetry. Baryogenesis below the electroweak scale may then need to be implemented in these models.
We show that it is possible to realize a "mu-split SUSY" scenario [1] in the context of large vol... more We show that it is possible to realize a "mu-split SUSY" scenario [1] in the context of large volume limit of type IIB compactifications on Swiss-Cheese Calabi-Yau's in the presence of a mobile space-time filling D3-brane and a (stack of) D7-brane(s) wrapping the "big" divisor Sigma_B. For this, we investigate the possibility of getting one Higgs to be light while other to be heavy in addition to a heavy Higgsino mass parameter. Further, we examine the existence of long lived gluino that manifests one of the major consequences of mu-split SUSY scenario, by computing its decay width as well as lifetime corresponding to the 3-body decays of the gluino into a quark, a squark and a neutralino or Goldstino, as well as 2-body decays of the gluino into either a neutralino or a Goldstino and a gluon. Guided by the geometric Kaehler potential for Sigma_B obtained in [2] based on GLSM techniques, and the Donaldson's algorithm [3] for obtaining numerically a Ricci-flat metric, we give details of our calculation in [4] pertaining to our proposed metric for the full Swiss-Cheese Calabi-Yau, but for simplicity of calculation, close to Sigma_B, which is Ricci-flat in the large volume limit. Also, as an application of the one-loop RG flow solution for the Higgsino mass parameter, we show that the contribution to the neutrino masses at the EW scale from dimension-six operators arising from the Kaehler potential, is suppressed relative to the Weinberg-type dimension-five operators.
We point out that the discovery of a right-handed charged gauge boson $W_R^\pm$ with mass of arou... more We point out that the discovery of a right-handed charged gauge boson $W_R^\pm$ with mass of around a few TeV, for example through a signal of two leptons and two jets that has been reported by CMS to have a 2.8$\sigma$ local excess or through a signal of a resonance decaying into a pair of standard model (SM) gauge bosons showing a local excess of 3.4$\sigma$ (2.5$\sigma$ global) reported by ATLAS search, will rule out all possibilities of leptogenesis in all classes of the left-right symmetric extensions of the Standard Model (LRSM) with both triplet and doublet Higgs scalars due to the unavoidable fast gauge mediated $B-L$ violating interactions $e_{R}^{\pm} W_{R}^{\mp} \rightarrow e_{R}^{\mp} W_{R}^{\pm}$. Our conclusions are very general in the sense that they do not necessarily demand for a lepton number violating detection signal of $W_R^\pm$.
The local uplift via local SYZ mirror symmetry of (M)N (fractional)D3-branes, and wrapped N_f fla... more The local uplift via local SYZ mirror symmetry of (M)N (fractional)D3-branes, and wrapped N_f flavor D7-branes in the presence of a black-hole resulting in a non-Kaehler resolved warped deformed conifold (NKRWDC) in [1], was carried out in [2] and resulted in black M3-branes; the deviation from the ISD condition of G_3 proportional to the square of the resolution parameter, in the limits of [1] and MQGP limit of [2], imposed on (g_s,M,N), can be ignored [3]. The uplift, if valid globally, asymptotes to M5-branes wrapping a two-cycle (homologously an (large) integer sum of two-spheres) in AdS_5xM_6. Interestingly, in the limits of [1]/ [2], assuming the deformation > resolution, by estimating the five SU(3) structure torsion (\tau) classes W_{1,2,3,4,5} we show that \tau\in W_5 in the large-r limit, implying the NKRWDC reduces to a warped Kaehler deformed conifold. Further, the local T^3 of [2] in the large-r limit and the limits of [1] and the `MQGP' limit of [2], satisfies t...
ABSTRACT Within the framework of N=1 gauged supergravity, using a phenomenological model that can... more ABSTRACT Within the framework of N=1 gauged supergravity, using a phenomenological model that can be obtained locally as a Swiss-cheese Calabi-Yau string-theoretic compactification with a mobile D3-brane localized on a nearly special Lagrangian three cycle in the Calabi-Yau and fluxed stacks of wrapped D7-branes, and which provides a natural realization of μ-split supersymmetry (SUSY), we show that in addition to getting a significant value of an [electron/neutron (e/n)] electron dipole moment (EDM) at two-loop level, one can obtain a sizable contribution of (e/n) EDM even at one-loop level due to the presence of heavy supersymmetric fermions nearly isospectral with heavy sfermions. Unlike traditional split SUSY models in which the one-loop diagrams do not give significant contribution to the EDM of the electron/neutron because of very heavy sfermions existing as propagators in the loop, we show that one obtains a “healthy” value of the EDM in our model because of the presence of a heavy Higgsino, neutralino/chargino, and gaugino as fermionic propagators in the loops. The independent CP-violating phases are generated from nontrivial distinct phase factors associated with four Wilson line moduli [identified with first-generation leptons and quarks and their SU(2)L-singlet cousins] as well as the D3-brane position moduli (identified with two Higgses), and the same are sufficient to produce overall distinct phase factors corresponding to all possible effective Yukawas as well as effective gauge couplings that we discuss in the context of N=1 gauged supergravity action. However, the complex phases responsible to generate a nonzero EDM at one-loop level mainly appear from an off-diagonal contribution of sfermion as well as Higgs mass matrices at the electroweak scale (EW). In our analysis, we obtain a dominant contribution of the electron/neutron EDM around de/e≡O(10−29) cm from two-loop diagrams involving heavy sfermions and a light Higgs, and de/e≡O(10−32) cm from a one-loop diagram involving a heavy chargino and a light Higgs as propagators in the loop. The neutron EDM gets a dominant contribution of the order dn/e≡O(10−33) cm from the one-loop diagram involving SM-like quarks and Higgs. To justify the possibility of obtaining a large EDM value in the case of a Barr-Zee diagram which involves W± and the Higgs (responsible to generate the nontrivial CP-violating phase) in the two-loop diagrams as discussed by Leigh et al. [Nucl. Phys. B267, 509 (1986)], we provide an analysis of the same in the context of our D3/D7 μ-split SUSY model at the EW scale. By conjecturing that the CP-violating phase can appear from the diagonalization of the Higgs mass matrix obtained in the context of μ-split SUSY, we also get an EDM of the electron/neutron around O(10−27) e cm in the case of the two-loop diagram involving W± bosons.
ABSTRACT The Strominger–Yau–Zaslow (SYZ) mirror, in the ‘delocalised limit’ of Becker et al. (Nuc... more ABSTRACT The Strominger–Yau–Zaslow (SYZ) mirror, in the ‘delocalised limit’ of Becker et al. (Nucl Phys B 702:207, 2004), of \(N\) \(D3\)-branes, \(M\) fractional \(D3\)-branes and \(N_f\) flavour \(D7\)-branes wrapping a non-compact four-cycle in the presence of a black hole (BH) resulting in a non-Kähler resolved warped deformed conifold (NKRWDC) in Mia et al. (Nucl Phys B 839:187, 2010), was carried out in Dhuria and Misra (JHEP 1311:001, 2013) and resulted in black \(M3\)-branes. There are two parts in our paper. In the first we show that in the ‘MQGP’ limit discussed in Dhuria and Misra (JHEP 1311:001, 2013) a finite \(g_s\) (and hence expected to be more relevant to QGP), finite \(g_sM, N_f, g_s^2MN_f\) and very large \(g_sN\), and very small \(\frac{g_sM^2}{N}\), we have the following. (i) The uplift, if valid globally (like Dasgupta et al., Nucl Phys B 755:21, 2006) for fractional \(D3\) branes in conifolds), asymptotically goes to \(M5\)-branes wrapping a two-cycle (homologously a (large) integer sum of two-spheres) in \(\mathrm{AdS}_5\times M_6\). (ii) Assuming the deformation parameter to be larger than the resolution parameter, by estimating the five \(SU(3)\) structure torsion (\(\tau \)) classes \(W_{1,2,3,4,5}\) we verify that \(\tau \in W_5\) in the large-\(r\) limit, implying the NKRWDC reduces to a warped Kähler deformed conifold. (iii) The local \(T^3\) of Dhuria and Misra (JHEP 1311:001, 2013) in the large-\(r\) limit satisfies the same conditions as the maximal \(T^2\)-invariant special Lagrangian three-cycle of \(T^*S^3\) of Ionel and Min-OO (J Math 52(3), 2008), partly justifying use of SYZ-mirror symmetry in the ‘delocalised limit’ of Becker et al. (Nucl Phys B 702:207, 2004) in Dhuria and Misra (JHEP 1311:001, 2013). In the second part of the paper, by either integrating out the angular coordinates of the non-compact four-cycle which a \(D7\)-brane wraps around, using the Ouyang embedding, in the DBI action of a \(D7\)-brane evaluated at infinite radial boundary, or by dimensionally reducing the 11-dimensional EH action to five (\(\mathbb {R}^{1,3},r\)) dimensions and at the infinite radial boundary, we then calculate in particular the \(g_s\mathop {\sim }\limits ^{<}1\) (part of the ’MQGP’) limit, a variety of gauge and metric-perturbation-modes’ two-point functions using the prescription of Son and Starinets (JHEP 0209:042, 2002). We hence study the following. (i) The diffusion constant \(D\sim \frac{1}{T}\), (ii) the electrical conductivity \(\sigma \sim T\), (iii) the charge susceptibility \(\chi \sim T^2\), (iv) [using (i)–(iii)] the Einstein relation \(\frac{\sigma }{\chi }=D\), (v) the R-charge diffusion constant \(D_R\sim \frac{1}{T}\), and (vi) (using Dhuria and Misra, JHEP 1311:001, 2013) and Kubo’s formula related to shear viscosity \(\eta \)) the possibility of generating \(\frac{\eta }{s}=\frac{1}{4\pi }\) from solutions to the vector and tensor mode metric perturbations’ EOMs, separately. The results are also valid for the limits of Mia et al. (Nucl Phys B 839:187, 2010): \(g_s, \frac{g_sM^2}{N}, g_s^2MN_f\rightarrow 0\), \(g_sN, g_sM>>1\).
Within the framework of N=1 gauged supergravity, using a phenomenological model which can be obta... more Within the framework of N=1 gauged supergravity, using a phenomenological model which can be obtained locally as a Swiss-Cheese Calabi-Yau string-theoretic compactification with a mobile D3-brane localized on a nearly sLag three-cycle in the Calabi-Yau and fluxed stacks of wrapped D7-branes, and which provides a natural realization of mu-Split SUSY, we show that in addition to getting a significant value of electron/neutron EDM d_{e,n}/e at two-loop level, one can obtain a sizable contribution of d_{e,n}/e even at one-loop level. We obtain d_{e}/e ~ O(10^{-29}) cm from two-loop diagrams involving heavy sfermions and a light Higgs, and d_{e}/e ~ O(10^{-32}) cm from one-loop diagram involving heavy chargino and a light Higgs. Also, d_{n}/e ~ O(10^{-33}) cm from one-loop diagram involving SM-like quarks and Higgs. Next, by considering a Barr-Zee diagram involving W bosons and Higgs, and conjecturing that the CP-violating phase can appear from a linear combination of Higgs doublet obtained in the context of mu-split SUSY, we obtain d_{e,n}/e ~ O(10^{-27}) cm at two-loop level .
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Papers by Mansi Dhuria