More Like this

1. Search for CP violation in t$$ \overline{\textrm{t}} $$H and tH production in multilepton channels in proton-proton collisions at $$ \sqrt{s} $$ = 13 TeV

   https://doi.org/10.1007/JHEP07(2023)092  

   Tumasyan, A. ; Adam, W. ; Andrejkovic, J. W. ; Bergauer, T. ; Chatterjee, S. ; Damanakis, K. ; Dragicevic, M. ; Escalante Del Valle, A. ; Hussain, P. S. ; Jeitler, M. ; et al ( July 2023 , Journal of High Energy Physics)

   The charge-parity (CP) structure of the Yukawa interaction between the Higgs (H) boson and the top quark is measured in a data sample enriched in the t$$ \overline{\textrm{t}} $$$\overline{t}$H and tH associated production, using 138 fb⁻¹of data collected in proton-proton collisions at$$ \sqrt{s} $$$\sqrt{s}$= 13 TeV by the CMS experiment at the CERN LHC. The study targets events where the H boson decays via H → WW or H →ττand the top quarks decay via t → Wb: the W bosons decay either leptonically or hadronically, and final states characterized by the presence of at least two leptons are studied. Machine learning techniques are applied to these final states to enhance the separation ofCP-even fromCP-odd scenarios. Two-dimensional confidence regions are set onκ_tand$$ \overset{\sim }{\kappa } $$$\tilde{\kappa }$_t, which are respectively defined as theCP-even andCP-odd top-Higgs Yukawa coupling modifiers. No significant fractionalCP-odd contributions, parameterized by the quantity|$$ {f}_{CP}^{\textrm{Htt}} $$$f_{\mathrm{CP}}^{\mathrm{Htt}}$|are observed; the parameter is determined to be|$$ {f}_{CP}^{\textrm{Htt}} $$$f_{\mathrm{CP}}^{\mathrm{Htt}}$|= 0.59 with an interval of (0.24,0.81) at 68% confidence level. The results are combined with previous results covering the H→ZZ and H→ γγdecay modes, yielding two- and one-dimensional confidence regions onκ_tand$$ \overset{\sim }{\kappa } $$$\tilde{\kappa }$_t, while|$$ {f}_{CP}^{\textrm{Htt}} $$$f_{\mathrm{CP}}^{\mathrm{Htt}}$|is determined to be|$$ {f}_{CP}^{\textrm{Htt}} $$$f_{\mathrm{CP}}^{\mathrm{Htt}}$|= 0.28 with an interval of|$$ {f}_{CP}^{\textrm{Htt}} $$$f_{\mathrm{CP}}^{\mathrm{Htt}}$| <0.55 at 68% confidence level, in agreement with the standard modelCP-even prediction of|$$ {f}_{CP}^{\textrm{Htt}} $$$f_{\mathrm{CP}}^{\mathrm{Htt}}$|= 0.

    

   more » « less
2. On Multiple $$L_p$$-Curvilinear-Brunn–Minkowski Inequalities

   https://doi.org/10.1007/s12220-024-01657-y  

   Roysdon, Michael ; Xing, Sudan ( May 2024 , The Journal of Geometric Analysis)

   We construct the extension of the curvilinear summation for bounded Borel measurable sets to the$$L_p$$$L_p$space for multiple power parameter$$\bar{\alpha }=(\alpha _1, \ldots , \alpha _{n+1})$$$\overline{\alpha }=({\alpha }_1,\dots ,{\alpha }_{n+1})$when$$p>0$$$p>0$. Based on this$$L_{p,\bar{\alpha }}$$$L_{p,\overline{\alpha }}$-curvilinear summation for sets and the concept ofcompressionof sets, the$$L_{p,\bar{\alpha }}$$$L_{p,\overline{\alpha }}$-curvilinear-Brunn–Minkowski inequality for bounded Borel measurable sets and its normalized version are established. Furthermore, by utilizing the hypo-graphs for functions, we enact a brand new proof of$$L_{p,\bar{\alpha }}$$$L_{p,\overline{\alpha }}$Borell–Brascamp–Lieb inequality, as well as its normalized version, for functions containing the special case of the$$L_{p}$$$L_p$Borell–Brascamp–Lieb inequality through the$$L_{p,\bar{\alpha }}$$$L_{p,\overline{\alpha }}$-curvilinear-Brunn–Minkowski inequality for sets. Moreover, we propose the multiple power$$L_{p,\bar{\alpha }}$$$L_{p,\overline{\alpha }}$-supremal-convolution for two functions together with its properties. Last but not least, we introduce the definition of the surface area originated from the variation formula of measure in terms of the$$L_{p,\bar{\alpha }}$$$L_{p,\overline{\alpha }}$-curvilinear summation for sets as well as$$L_{p,\bar{\alpha }}$$$L_{p,\overline{\alpha }}$-supremal-convolution for functions together with their corresponding Minkowski type inequalities and isoperimetric inequalities for$$p\ge 1,$$$p\ge 1,$etc.

    

   more » « less
3. Schanuel type conjectures and disjointness

   https://doi.org/10.1007/s11139-023-00707-3  

   Broudy, Isaac A. ; Eterović, Sebastian ( March 2023 , The Ramanujan Journal)

   Given a subfieldFof$${\mathbb {C}}$$$C$, we study the linear disjointess of the fieldEgenerated by iterated exponentials of elements of$${\overline{F}}$$$\overline{F}$, and the fieldLgenerated by iterated logarithms, in the presence of Schanuel’s conjecture. We also obtain similar results replacing$$\exp $$$exp$by the modularj-function, under an appropriate version of Schanuel’s conjecture, where linear disjointness is replaced by a notion coming from the action of$$\textrm{GL}_2$$${\text{GL}}_2$on$${\mathbb {C}}$$$C$. We also show that for certain choices ofFwe obtain unconditional versions of these statements.

    

   more » « less
4. Steady Radiating Gravity waves: An Exponential Asymptotics Approach

   https://doi.org/10.1007/s42286-023-00081-z  

   Kataoka, Takeshi ; Akylas, T. R. ( January 2024 , Water Waves)

   The radiation of steady surface gravity waves by a uniform stream$$U_{0}$$$U_0$over locally confined (width$$L$$$L$) smooth topography is analyzed based on potential flow theory. The linear solution to this classical problem is readily found by Fourier transforms, and the nonlinear response has been studied extensively by numerical methods. Here, an asymptotic analysis is made for subcritical flow$$D/\lambda > 1$$$D/\lambda >1$in the low-Froude-number ($$F^{2} \equiv \lambda /L \ll 1$$$F^2\equiv \lambda /L\ll 1$) limit, where$$\lambda = U_{0}^{2} /g$$$\lambda =U_0^2/g$is the lengthscale of radiating gravity waves and$$D$$$D$is the uniform water depth. In this regime, the downstream wave amplitude, although formally exponentially small with respect to$$F$$$F$, is determined by a fully nonlinear mechanism even for small topography amplitude. It is argued that this mechanism controls the wave response for a broad range of flow conditions, in contrast to linear theory which has very limited validity.

    

   more » « less
5. Measurement of the e+e− → $$ {B}_s^0{\overline{B}}_s^0X $$ cross section in the energy range from 10.63 to 11.02 GeV using inclusive $$ {D}_s^{+} $$ and D0 production

   https://doi.org/10.1007/JHEP08(2023)131  

   Zhukova, V ; Mizuk, R ; Adachi, I ; Aihara, H ; Al_Said, S ; Asner, D M ; Atmacan, H ; Aulchenko, V ; Aushev, T ; Ayad, R ; et al ( August 2023 , Journal of High Energy Physics)

   We report the first measurement of the inclusivee⁺e⁻→$$ b\overline{b} $$$b\overline{b}$→$$ {D}_s^{\pm } $$$D_s^{\pm }$Xande⁺e⁻→$$ b\overline{b} $$$b\overline{b}$→ D⁰/$$ {\overline{D}}^0 $$${\overline{D}}^0$Xcross sections in the energy range from 10.63 to 11.02 GeV. Based on these results, we determineσ(e⁺e⁻→$$ {B}_s^0{\overline{B}}_s^0 $$$B_s^0{\overline{B}}_s^0$X) andσ(e⁺e⁻→$$ B\overline{B} $$$B\overline{B}$X) in the same energy range. We measure the fraction of$$ {B}_s^0 $$$B_s^0$events at Υ(10860) to bef_s= ($$ {22.0}_{-2.1}^{+2.0} $$${22.0}_{-2.1}^{+2.0}$)%. We determine also the ratio of the$$ {B}_s^0 $$$B_s^0$inclusive branching fractions$$ \mathcal{B} $$$B$($$ {B}_s^0 $$$B_s^0$→ D⁰/$$ {\overline{D}}^0 $$${\overline{D}}^0$X)/$$ \mathcal{B} $$$B$($$ {B}_s^0 $$$B_s^0$→$$ {D}_s^{\pm } $$$D_s^{\pm }$X) = 0.416 ± 0.018 ± 0.092. The results are obtained using the data collected with the Belle detector at the KEKB asymmetric-energye⁺e⁻collider.

    

   more » « less